Question 2

Question

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

0.2 in
0.2 in

4.8 in
4.8 in

310.9 in
310.9 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=−13x+1
y is equal to negative 1 third x plus 1

x+y=−3
x plus y is equal to negative 3

y=23x−2
y is equal to 2 thirds x minus 2

x=3
x is equal to 3

y=3x+1
y is equal to 3 x plus 1
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=−4x
y is equal to negative 4 x

y=2x
y is equal to 2 x

y=−4
y is equal to negative 4

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=x2.2
y is equal to x over 2 point 2

y=2.2x
y is equal to 2 point 2 x

y=x+8.4
y is equal to x plus 8 point 4

y=x−6
y is equal to x minus 6
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

15oF
15 to the o th power cap f

16oF
16 to the o th power cap f

150oF
150 to the o th power cap f

140oF
140 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

Answer 1

Sure! Here are the answers to each question in the sequence provided:

Question 2: Fill in the table for Latesha's lunch account.

• 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: 5x + 10y = 1000 If the soccer team washed 75 large vehicles, they had to wash:
• Response area: 85 small vehicles.

Question 4: Calculate the costs for each plan with 600 minutes and 1500 text messages:

• Plan A: $95
• Plan B: $90 (600 min * $0.10 + 1500 * $0.05 = $60 + $75 = $135)
• Plan C: $70 (Monthly fee of $20 + $0.05 * 600 = $20 + $30 = $50)
• Plan D: $105 (Monthly fee of $45 + $60 = $105)

So the order from least expensive to most expensive is:

1. Plan A: $95
2. Plan C: $50
3. Plan B: $135
4. Plan D: $105

Question 5: Using the formula V=lwh, we isolate for width: V = 124.38 in³, h = 10.3 in, l = 2.5 in, W = V / (l * h) = 124.38 / (2.5 * 10.3) = 124.38 / 25.75 = 4.83 Rounded to the nearest tenth is:

• Response: 4.8 in

Question 6: Possible equations that could be the other line:

1. y = -13x + 1
2. x = 3
3. y = 3x + 1

Question 7: To intersect the line at (−4, 2) the equation needs to satisfy that point. After substituting, we find the equations:

1. y = -4x
2. y = 2 Possible answers include:

• y=2
• y=-4

Question 8: The solution to the system of equations: (Response area, Response area) can be any intersection value you identify within the graph provided.

Question 9: Looking at the table data points, we can derive: y = 2.2x

Question 10: Fill in the table based on y = 3x + 7:

• When x = 1, y = 10
• When x = 2, y = 13 Therefore:
• 1, 10
• 2, 13

Question 11: The perimeter P=36 gives us valid pairs.

• Length = 16, Width = 2
• Length = 10, Width = 8
• Length = 6, Width = 12

Question 12: To convert 60°C to °F: F = (9/5 * C) + 32 F = (9/5 * 60) + 32 = 140°F Response:

• 140°F

Question 13: Solution to the system of equations would depend on intersection points provided in the graph.

Question 14: You would need to provide the equations from which a solution of (3.5, −4) can be derived.

Question 15: This requires the equations of the red and blue lines and identifying the intersection as the solution.

If you need any of the above responses detailed further or if you have additional queries, feel free to ask!