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Question 7

A)Jeff used the fact that a motorcycle can travel 300 miles in 4 hours to find the unit rate. If the speed limit on the highway is 65 miles per hour, is the motorcycle going faster than, slower than, or equal to the speed limit?(1 point)
Responses

Cannot be determined by the information provided.
Cannot be determined by the information provided.

Faster than
Faster than

Slower than
Slower than

Equal to
Equal to
Question 8
A)
Megan graphed the distance, y
, traveled by 2 bikes in x
seconds.

(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.
Bike 1 has traveled Response area feet after 4 seconds.

Bike 2 has traveled 10 feet after Response area seconds.

If traveling a distance of 100 feet in a race, Response area would win the race.

Question 9
A)
In the map below, the path from the whales to the sharks is parallel to the path from the penguins to the fish tanks.



Set up and solve the proportion to find the distance between the penguins and the fish tank.

(3 points)
Set up the proportion: 3054=
$$

NOTE: Type the correct fraction into the box to receive credit.

Cross Multiply: 30x=
$$

NOTE: Type the correct numerical answer into the box to receive credit.

Solve for x: x=
$$ feet

NOTE: Type the correct numerical answer into the box to receive credit.

Question 10
A)
One of the rows in Harry’s table does not have the same ratio as the other rows.

Gallons Cups
Row 1 2 30
Row 2 5 85
Row 3 9 135
Row 4 12 180
Which row does not have the same ratio as the others?

(1 point)
Responses

Row 3
Row 3

Row 4
Row 4

Row 1
Row 1

Row 2
Row 2
Question 11
A)Quinten and his friends cut a peach pie into 10 equal slices and a cherry pie into 15 equal slices. They ate 610
of the peach pie. If they ate the same fraction of the cherry pie, how many slices of the cherry pie did they eat?(1 point)
Responses

12
12

10
10

9
9

6
6
Question 12
A)Bagel Emporium burned 10% of the total amount of bagels produced on Saturday. If 208 bagels were burned, how many bagels did they produce in total on Saturday?(1 point)
Responses

208 bagels
208 bagels

2,080 bagels
2,080 bagels

21 bagels
21 bagels

20,080 bagels
20,080 bagels
Question 13
A)
Isaiah has $25 to spend on bowling. He has four bowling alleys to choose from, and the price each charges for a game is shown in the table.



Bowling Alley Price per Game
Alley Cats $3.97
Bowlera $5.49
Pin Can $4.22
Bowl n Skate $5.32
Which can he afford? Select the two that apply.

(2 points)
Responses

5 games at Pin Can
5 games at Pin Can

6 games at Alley Cat
6 games at Alley Cat

7 games at Bowlera
7 games at Bowlera

6 games at Bowl n Skate
6 games at Bowl n Skate
Question 14
A)A home cleaning service takes more time to clean larger spaces. The table shows the number of minutes it takes for the service to clean a certain number of square feet within a home.(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.
Square Feet and Cleaning Time

Number of Square Feet 10 70 Response area 210
Time in Minutes 4 Response area 48 84


Question 15
A)Ava wrote the expression 4−12−3
to determine the slope of a line. Which table might represent Ava’s line?(1 point)
Responses

x y
4 3
2 1x y 4 3 2 1

x y
4 3
2 1x y 4 3 2 1

x y
3 4
-1 -2x y 3 4 -1 -2

x y
3 1
2 4


x y 3 1 2 4
Question 16
A)
The triangles pictured are similar. Fill in the blanks to solve for the missing side length.

(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.
Set up equivalent ratios: 4x=
Response area

Cross multiply: Response area =36
​​​​​​​

Solve for x: x=
Response area miles

Question 17
A)
The table shows conversions of common units of length.

Customary System Units Metric System Units
1 inch 2.54 centimeters
1 foot 0.03048 meters
1 mile 1.61 kilometers
1 foot = 12 inches
1 yard = 3 feet
Which shows the best path to find the number of centimeters in 1 foot?

(1 point)
Responses

feet to inches to centimeters
feet to inches to centimeters

feet to yards to centimeters
feet to yards to centimeters

centimeters to inches to feet
centimeters to inches to feet

centimeters to feet to yards
centimeters to feet to yards
Question 18
A)
Four students drew graphs of linear functions. Which student drew a line with a slope of 13
?




(1 point)
Responses

Analise
Analise

Benito
Benito

Charlie
Charlie

Dariya
Dariya

1 answer

Let's go through each question one by one:

Question 7

Jeff used the fact that a motorcycle can travel 300 miles in 4 hours to find the unit rate.

  • To find the unit rate, divide the distance by the time: \[ \text{Speed} = \frac{300 \text{ miles}}{4 \text{ hours}} = 75 \text{ miles per hour} \]
  • Since 75 miles per hour is greater than the speed limit of 65 miles per hour, the motorcycle is: Faster than

Question 8

Assuming the response areas need to be filled according to travel distances given:

  • Bike 1 has traveled Response area feet after 4 seconds.

  • Let's say Bike 1 travels at a rate of 5 feet per second, it would travel \[ 5 \text{ feet/second} \times 4 \text{ seconds} = 20 \text{ feet} \] So:

    • Bike 1 has traveled 20 feet after 4 seconds.

  • Bike 2 has traveled 10 feet after Response area seconds. If Bike 2 travels at 5 feet per second, it took: \[ \frac{10 \text{ feet}}{5 \text{ feet/second}} = 2 \text{ seconds} \] So:

    • Bike 2 has traveled 10 feet after 2 seconds.

  • If traveling a distance of 100 feet in a race, since both bikes have different speeds (assuming Bike 2 is faster), we would need to match their speeds. Without exact values, we cannot tell definitively who would win solely based on the earlier filled values.

    • Assume if Bike 1 has speed \(v_1\) and Bike 2 has speed \(v_2\), then Bike (identified with more speed) would win the race.

Question 9

Setting up the proportion based on the information presented:

  • The proportion between distances from whales to sharks and penguins to fish tanks. \[ \frac{30}{x} = \frac{305}{\text{distance from penguins to fish tanks}} \]
  • Cross Multiply results in: \[ 30 \cdot \text{distance from penguins to fish tanks} = 305 \] So if \(d\) represents the distance: ( 30d = 305 )
  • Now, solving for \(d\): \[ d = \frac{305}{30} = 10.1667 \text{ feet} \approx 10.17 \text{ feet} \]

Question 10

To determine which row does not have the same ratio of gallons to cups:

  • The ratios from the table:
    • Row 1: \(2 : 30\) = \(1 : 15\)
    • Row 2: \(5 : 85\) = \(1 : 17\)
    • Row 3: \(9 : 135\) = \(1 : 15\)
    • Row 4: \(12 : 180\) = \(1 : 15\)

Row 2 has a different ratio from the others.

  • The answer is Row 2.

Question 11

For the cherry pie:

  • If they ate \( \frac{6}{10} \) or \( \frac{3}{5} \) of the peach pie (which is 6 slices), they would eat the same fraction of the cherry pie.
  • \( \frac{3}{5} \) of 15 slices = 9 slices.

Question 12

  • \(10%\) of total bagels is 208. So, \[ x \cdot 0.1 = 208 \implies x = \frac{208}{0.1} = 2080 \text{ bagels} \]
  • Bags produced in total = 2,080 bagels.

Question 13

Calculating how many games can be played at the bowling alleys with a budget of $25:

  1. Alley Cats: \( \frac{25}{3.97} \approx 6.29 \) → Can afford 6 games.
  2. Bowlera: \( \frac{25}{5.49} \approx 4.55 \) → Can afford 4 games.
  3. Pin Can: \( \frac{25}{4.22} \approx 5.91 \) → Can afford 5 games.
  4. Bowl n Skate: \( \frac{25}{5.32} \approx 4.69 \) → Can afford 4 games.

So, the responses would be:

  • 5 games at Pin Can
  • 6 games at Alley Cats

Question 14

Setting the responses for the cleaning service:

  • Answers can be computed as follows:
  • For 10 square feet, it takes 4 minutes.
  • For 70 square feet, it takes 48 minutes.
  • To find how long it would take for 210 square feet, extrapolate it accordingly.

Question 15

Considering the slope expression written by Ava:

  • The slope is indicated by the change of y/change of x. This question does not contain enough information, just recognize the slope correlation with the provided options.

Question 16

Using the information of similar triangles, set up ratios:

  • Let's say: \[ \frac{4}{x} = \frac{b}{c} \]
  • Solving and plugging numerical values should yield required side.

Question 17

  • The best path would involve converting feet to inches and then to centimeters:
  1. feet to inches to centimeters.

Question 18

Without the graphs provided, determination requires visual assessment of slope signs from listing responses.

If you have specific numerical outputs for questions where I listed assumptions or estimations, feel free to input that! Let me know any specifics!