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Question 2 A)Latesha’s mother puts $45 in Latesha’s lunch account at school. Each day, Latesha uses $4 from her account for lun...Question
Question 2
A)Latesha’s mother puts $45 in Latesha’s lunch account at school. Each day, Latesha uses $4 from her account for lunch. The table below represents this situation. Fill in the amount remaining in Latesha's account each day after she purchases lunch. DO NOT type the $ symbol in the blank.(5 points)
Day
Amount Left
in Account ($)
0 $45
1 $$$
2 $$$
3 $$$
4 $$$
5 $$$
Question 3
A)(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The soccer team collected $1000 at a car wash fundraiser. They charged $5 for small vehicles and $10 for larger vehicles. If x represents the number of small cars and y represents the number of large cars, the amount collected cal be modeled by the equation:
Response areax+
Response areay=
Response area.
If the soccer team washed 75 large vehicles, that means they had to wash Response area small vehicles to meet their $1000 total.
Question 4
A)
Tyrone is comparing mobile phone plans. The plans are as follows:
Plan A: $95 for unlimited talk time and text messaging.
Plan B: $0.10 per minute for talk and $0.05 per text message.
Plan C: $20 monthly fee plus $0.05 per minute for talk and $0.05 per text message.
Plan D: $45 monthly fee $0.10 per minute for talk and free text messages.
If Tyrone talks for 600 minutes each month and uses 1500 text messages, put the phone plans in order from least expensive (top) to most expensive (bottom).
(4 points)
Arrange responses in the correct order to answer the question. Select a response, navigate to the desired position and insert response at that position. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can be moved using the up and down arrow keys or by dragging with a mouse.
Question 5
A)
The volume, V, of a rectangular prism is determined using the formula V=lwh
, where l is the length, w is the width, and h is the height of the prism.
Using the formula, what is the width of a rectangular prism that has a volume of V=124.38 in3
, a height of h=10.3 in
and a length of l=2.5 in
? Round your answer to the nearest tenth.
(1 point)
Responses
98.6 in
98.6 in
310.9 in
310.9 in
0.2 in
0.2 in
4.8 in
4.8 in
Question 6
A)
Brandon graphed one line in a system of equations. The system has only one solution of (3, 0)
. Which equation could be the other line in the system of equations? Select the three that apply.
(3 points)
Responses
y=23x−2
y is equal to 2 thirds x minus 2
y=3x+1
y is equal to 3 x plus 1
y=−13x+1
y is equal to negative 1 third x plus 1
x+y=−3
x plus y is equal to negative 3
x=3
x is equal to 3
Question 7
A)
The equation y=12x+4
is graphed below. Which equation would intersect this line at the point (−4, 2)
?
(1 point)
Responses
y=−4
y is equal to negative 4
y=2x
y is equal to 2 x
y=−4x
y is equal to negative 4 x
y=2
y is equal to 2
Question 8
A)(2 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The system of equations y=52x−4
and y=−12x+5
is shown on the graph below.
According to the graph, the solution to the system of equations is (Response area, Response area).
Question 9
A)
The table below shows the conversion of pounds to kilograms.
Pounds (x) Kilograms (y)
5 11
7 15.4
9 19.8
11 24.2
Which equation represents the relationship between the number of pounds, x, and the number of kilograms, y?
(1 point)
Responses
y=x−6
y is equal to x minus 6
y=x+8.4
y is equal to x plus 8 point 4
y=x2.2
y is equal to x over 2 point 2
y=2.2x
y is equal to 2 point 2 x
Question 10
A)
A student creates a table to evaluate the equation y=3x+7
. The student begins the table as shown. Fill in the missing values for the table.
(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
x Function y
1 3(1)+7
10
2 3(2)+
Response area Response area
3 Response area 16
Question 11
A)The perimeter of a rectangle is 36 inches. The equation for the perimeter of a rectangle is P=2l+2w
, where l represents the length and w represents the width. Fill in the table for the possible values for length and width.(3 points)
Length (in.) Width (in.)
$$ 16
10 $$
$$ 6
Question 12
A)
The formula to convert degrees Fahrenheit to degrees Celsius is C=59(F−32)
.
Convert 60oC
to oF
.
(1 point)
Responses
150oF
150 to the o th power cap f
15oF
15 to the o th power cap f
140oF
140 to the o th power cap f
16oF
16 to the o th power cap f
Question 13
A)
What is the solution to the system of equations graphed below?
(2 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
(Response area, Response area)
Question 14
A)Which system of equations shows a solution of (3.5, −4)
?(1 point)
Responses
Question 15
A)Identify the equation for the red line and the blue line. Then, identify the solution to the system of equations.(3 points)
Drop target 1
Drop target 2
Drop target 3
A)Latesha’s mother puts $45 in Latesha’s lunch account at school. Each day, Latesha uses $4 from her account for lunch. The table below represents this situation. Fill in the amount remaining in Latesha's account each day after she purchases lunch. DO NOT type the $ symbol in the blank.(5 points)
Day
Amount Left
in Account ($)
0 $45
1 $$$
2 $$$
3 $$$
4 $$$
5 $$$
Question 3
A)(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The soccer team collected $1000 at a car wash fundraiser. They charged $5 for small vehicles and $10 for larger vehicles. If x represents the number of small cars and y represents the number of large cars, the amount collected cal be modeled by the equation:
Response areax+
Response areay=
Response area.
If the soccer team washed 75 large vehicles, that means they had to wash Response area small vehicles to meet their $1000 total.
Question 4
A)
Tyrone is comparing mobile phone plans. The plans are as follows:
Plan A: $95 for unlimited talk time and text messaging.
Plan B: $0.10 per minute for talk and $0.05 per text message.
Plan C: $20 monthly fee plus $0.05 per minute for talk and $0.05 per text message.
Plan D: $45 monthly fee $0.10 per minute for talk and free text messages.
If Tyrone talks for 600 minutes each month and uses 1500 text messages, put the phone plans in order from least expensive (top) to most expensive (bottom).
(4 points)
Arrange responses in the correct order to answer the question. Select a response, navigate to the desired position and insert response at that position. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can be moved using the up and down arrow keys or by dragging with a mouse.
Question 5
A)
The volume, V, of a rectangular prism is determined using the formula V=lwh
, where l is the length, w is the width, and h is the height of the prism.
Using the formula, what is the width of a rectangular prism that has a volume of V=124.38 in3
, a height of h=10.3 in
and a length of l=2.5 in
? Round your answer to the nearest tenth.
(1 point)
Responses
98.6 in
98.6 in
310.9 in
310.9 in
0.2 in
0.2 in
4.8 in
4.8 in
Question 6
A)
Brandon graphed one line in a system of equations. The system has only one solution of (3, 0)
. Which equation could be the other line in the system of equations? Select the three that apply.
(3 points)
Responses
y=23x−2
y is equal to 2 thirds x minus 2
y=3x+1
y is equal to 3 x plus 1
y=−13x+1
y is equal to negative 1 third x plus 1
x+y=−3
x plus y is equal to negative 3
x=3
x is equal to 3
Question 7
A)
The equation y=12x+4
is graphed below. Which equation would intersect this line at the point (−4, 2)
?
(1 point)
Responses
y=−4
y is equal to negative 4
y=2x
y is equal to 2 x
y=−4x
y is equal to negative 4 x
y=2
y is equal to 2
Question 8
A)(2 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The system of equations y=52x−4
and y=−12x+5
is shown on the graph below.
According to the graph, the solution to the system of equations is (Response area, Response area).
Question 9
A)
The table below shows the conversion of pounds to kilograms.
Pounds (x) Kilograms (y)
5 11
7 15.4
9 19.8
11 24.2
Which equation represents the relationship between the number of pounds, x, and the number of kilograms, y?
(1 point)
Responses
y=x−6
y is equal to x minus 6
y=x+8.4
y is equal to x plus 8 point 4
y=x2.2
y is equal to x over 2 point 2
y=2.2x
y is equal to 2 point 2 x
Question 10
A)
A student creates a table to evaluate the equation y=3x+7
. The student begins the table as shown. Fill in the missing values for the table.
(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
x Function y
1 3(1)+7
10
2 3(2)+
Response area Response area
3 Response area 16
Question 11
A)The perimeter of a rectangle is 36 inches. The equation for the perimeter of a rectangle is P=2l+2w
, where l represents the length and w represents the width. Fill in the table for the possible values for length and width.(3 points)
Length (in.) Width (in.)
$$ 16
10 $$
$$ 6
Question 12
A)
The formula to convert degrees Fahrenheit to degrees Celsius is C=59(F−32)
.
Convert 60oC
to oF
.
(1 point)
Responses
150oF
150 to the o th power cap f
15oF
15 to the o th power cap f
140oF
140 to the o th power cap f
16oF
16 to the o th power cap f
Question 13
A)
What is the solution to the system of equations graphed below?
(2 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
(Response area, Response area)
Question 14
A)Which system of equations shows a solution of (3.5, −4)
?(1 point)
Responses
Question 15
A)Identify the equation for the red line and the blue line. Then, identify the solution to the system of equations.(3 points)
Drop target 1
Drop target 2
Drop target 3
Answers
GPT-4o mini
Sure! Here are the responses for your questions:
**Question 2**
Fill in the amount remaining in Latesha's account each day after she purchases lunch.
- Day 0: 45
- Day 1: 41
- Day 2: 37
- Day 3: 33
- Day 4: 29
- Day 5: 25
**Question 3**
The amount collected can be modeled by the equation:
- **Response area x** + **Response area y** = **Response area**
This is translated to: **5x + 10y = 1000**.
If the soccer team washed 75 large vehicles, that means they had to wash **Response area small vehicles** to meet their $1000 total.
- Calculate the total from large vehicles: 10 * 75 = 750.
- Amount left to collect: 1000 - 750 = 250. Since small vehicles are $5, then:
- 250 / 5 = 50 small vehicles.
**Question 4**
Calculate costs for each plan:
- **Plan A**: $95.
- **Plan B**: 600 minutes * $0.10 + 1500 text * $0.05 = 60 + 75 = $135.
- **Plan C**: $20 + (600 * $0.05) + (1500 * $0.05) = 20 + 30 + 75 = $125.
- **Plan D**: $45 + (600 * $0.10) = 45 + 60 = $105.
Order from least expensive to most expensive:
- Plan A: $95
- Plan D: $105
- Plan C: $125
- Plan B: $135
**Question 5**
Using the formula \( V = l \times w \times h \):
- \( 124.38 = 2.5 \times w \times 10.3 \)
- \( w = \frac{124.38}{2.5 \times 10.3} \)
- Calculate \( w \) and round to the nearest tenth:
- \( w \approx 4.8 \) in.
**Question 6**
Select the equations that could represent the other line:
- y = 3x + 1 (Will intersect at more than one point).
- y = -1/3 x + 1 (Will intersect at more than one point).
- x + y = -3 (Will intersect at the point (3,0)).
*(Note: y = 2/3 x - 2 and y = x = 3 do not intersect at just one point (3,0)).*
**Question 7**
The equation that would intersect at the point (−4, 2):
- y = -4x (checking: if x = -4, then y = 16, not intersecting, is not valid).
- y=2 (is also not intersecting).
- Best choice: y = -4 (check: this is a horizontal line at y= -4).
For good intersection: y=2 (at that point).
**Question 8**
Use the intersection point of the two equations from the graph to solve.
- (Response area, Response area) would be the coordinates where they cross.
**Question 9**
Looking for the relationship between pounds and kilograms:
- Best fit is \( y = 2.2x \).
**Question 10**
Fill in the missing values for the table:
- For \( x = 1 \): \( 3(1) + 7 = 10 \)
- For \( x = 2 \): \( 3(2) + 7 = 13 \)
- For \( y = 3 \): Solve \( y = 3(3) + 7 = 16 \).
**Question 11**
Using \( P = 2l + 2w \):
- \( L=12, W=6 \) satisfy.
- Length (in): Values can be calculated using the equation, since either of the values missing you can provide other pairs like 0, 18.
**Question 12**
Using \( C = \frac{5}{9}(F - 32) \) to convert to Fahrenheit:
- To get C: \( F = \frac{9}{5}C + 32 \)
- \( 60C = 140F \).
Responses will be:
- **140°F**.
**Question 13**
Identify the intersection point from the graph for the system of equations.
- (response area, response area) will display that point.
**Question 14**
Make sure those equations create a solution point in the calculations: Check for x=3.5 and y=-4; those equations would yield that result.
**Question 15**
Label each line equation and identify the solution of the system, confirming with their intersection.
Feel free to ask for further assistance on any question or more clarification!
**Question 2**
Fill in the amount remaining in Latesha's account each day after she purchases lunch.
- Day 0: 45
- Day 1: 41
- Day 2: 37
- Day 3: 33
- Day 4: 29
- Day 5: 25
**Question 3**
The amount collected can be modeled by the equation:
- **Response area x** + **Response area y** = **Response area**
This is translated to: **5x + 10y = 1000**.
If the soccer team washed 75 large vehicles, that means they had to wash **Response area small vehicles** to meet their $1000 total.
- Calculate the total from large vehicles: 10 * 75 = 750.
- Amount left to collect: 1000 - 750 = 250. Since small vehicles are $5, then:
- 250 / 5 = 50 small vehicles.
**Question 4**
Calculate costs for each plan:
- **Plan A**: $95.
- **Plan B**: 600 minutes * $0.10 + 1500 text * $0.05 = 60 + 75 = $135.
- **Plan C**: $20 + (600 * $0.05) + (1500 * $0.05) = 20 + 30 + 75 = $125.
- **Plan D**: $45 + (600 * $0.10) = 45 + 60 = $105.
Order from least expensive to most expensive:
- Plan A: $95
- Plan D: $105
- Plan C: $125
- Plan B: $135
**Question 5**
Using the formula \( V = l \times w \times h \):
- \( 124.38 = 2.5 \times w \times 10.3 \)
- \( w = \frac{124.38}{2.5 \times 10.3} \)
- Calculate \( w \) and round to the nearest tenth:
- \( w \approx 4.8 \) in.
**Question 6**
Select the equations that could represent the other line:
- y = 3x + 1 (Will intersect at more than one point).
- y = -1/3 x + 1 (Will intersect at more than one point).
- x + y = -3 (Will intersect at the point (3,0)).
*(Note: y = 2/3 x - 2 and y = x = 3 do not intersect at just one point (3,0)).*
**Question 7**
The equation that would intersect at the point (−4, 2):
- y = -4x (checking: if x = -4, then y = 16, not intersecting, is not valid).
- y=2 (is also not intersecting).
- Best choice: y = -4 (check: this is a horizontal line at y= -4).
For good intersection: y=2 (at that point).
**Question 8**
Use the intersection point of the two equations from the graph to solve.
- (Response area, Response area) would be the coordinates where they cross.
**Question 9**
Looking for the relationship between pounds and kilograms:
- Best fit is \( y = 2.2x \).
**Question 10**
Fill in the missing values for the table:
- For \( x = 1 \): \( 3(1) + 7 = 10 \)
- For \( x = 2 \): \( 3(2) + 7 = 13 \)
- For \( y = 3 \): Solve \( y = 3(3) + 7 = 16 \).
**Question 11**
Using \( P = 2l + 2w \):
- \( L=12, W=6 \) satisfy.
- Length (in): Values can be calculated using the equation, since either of the values missing you can provide other pairs like 0, 18.
**Question 12**
Using \( C = \frac{5}{9}(F - 32) \) to convert to Fahrenheit:
- To get C: \( F = \frac{9}{5}C + 32 \)
- \( 60C = 140F \).
Responses will be:
- **140°F**.
**Question 13**
Identify the intersection point from the graph for the system of equations.
- (response area, response area) will display that point.
**Question 14**
Make sure those equations create a solution point in the calculations: Check for x=3.5 and y=-4; those equations would yield that result.
**Question 15**
Label each line equation and identify the solution of the system, confirming with their intersection.
Feel free to ask for further assistance on any question or more clarification!