Question 2

Question

A)Mariana's bread recipe calls for 13
of a cup of flour. Which amount of flour is equivalent?(1 point)
Responses

46
of a cup
4 sixths of a cup

23
of a cup
2 thirds of a cup

412
of a cup
4 over 12 of a cup

14
of a cup
1 fourth of a cup
Question 3
A)Which of the tables follow a ratio?(1 point)
Responses

A B
1 5
2 6
3 7A B 1 5 2 6 3 7

A B
1 1
2 4
3 9A B 1 1 2 4 3 9

A B
2 6
3 9
4 12


A B 2 6 3 9 4 12

A B
1 4
2 8
3 9A B 1 4 2 8 3 9
Question 4
A)
The chart below shows conversion between feet and inches. What are the missing values in the table?

NOTE: Type the correct numerical value into the blanks to receive credit.

(4 points)
Feet Inches
$$ 24
3 36
4 $$
5
60

Question 5
A)
Rachel drew the two graphs below. Rachel says that graph S has a steeper slope than graph R. Is Rachel correct or incorrect? Why?

(1 point)
Responses

Rachel is not correct; both graphs go through the origin and have the same slope.
Rachel is not correct; both graphs go through the origin and have the same slope.

Rachel is correct; Graph S is non-proportional.
Rachel is correct; Graph S is non-proportional.

Rachel is not correct; Graph R is steeper than Graph S.
Rachel is not correct; Graph R is steeper than Graph S.

Rachel is correct; Graph S has a slope of 2 and Graph R has a slope of 0.5.
Rachel is correct; Graph S has a slope of 2 and Graph R has a slope of 0.5.
Question 6
A)
1 quart = 946.35 milliliters
, How many milliliters are in 1 gallon? Round your answer to the nearest tenth.

1 pint = 2 cups
1 quart = 2 pints
1 gallon = 4 quarts


(1 point)
Responses

236.6 mL
236.6 mL

1892.7 mL
1892.7 mL

473.2 mL
473.2 mL

3785.4 mL
3785.4 mL
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

Equal to
Equal to

Faster than
Faster than

Slower than
Slower than

Cannot be determined by the information provided.
Cannot be determined by the information provided.
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 2
Row 2

Row 4
Row 4

Row 1
Row 1

Row 3
Row 3
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

10
10

9
9

12
12

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

2,080 bagels
2,080 bagels

208 bagels
208 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

7 games at Bowlera
7 games at Bowlera

5 games at Pin Can
5 games at Pin Can

6 games at Alley Cat
6 games at Alley Cat

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

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

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 yards to centimeters
feet to yards to centimeters

centimeters to inches to feet
centimeters to inches to feet

feet to inches to centimeters
feet to inches to centimeters

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

Dariya
Dariya

Charlie
Charlie

Benito
Benito

Answer 1

Here are the answers to the questions based on the information provided:

Question 2: A) Mariana's bread recipe calls for \( \frac{1}{3} \) of a cup of flour. Which amount of flour is equivalent?

• Response: \( \frac{2}{6} \) of a cup

Question 3: A) Which of the tables follow a ratio?

• Response: A | B
  2 | 6
  3 | 9
  4 | 12
  (This shows a constant ratio of 1:3.)

Question 4: The chart shows conversion between feet and inches. Feet | Inches
$$ | 24
3 | 36
4 | $$
5 | 60

• Response:
  • If 1 foot = 12 inches, then:
  • Missing value for 1 foot: 12 inches
  • For 4 feet: \( 4 \times 12 = 48 \)

Question 5: A) Is Rachel correct about the slope of the graphs?

• Response: Rachel is correct; Graph S has a slope of 2 and Graph R has a slope of 0.5.

Question 6: A) How many milliliters are in 1 gallon?

• Response: 3785.4 mL (since \( 1\ gallon = 4\ quarts \), and \( 1\ quart = 946.35\ mL \) gives \( 4 \times 946.35 = 3785.4\ mL \))

Question 7: A) Is the motorcycle going faster than, slower than, or equal to the speed limit?

• Response: Slower than (Unit rate is 75 miles in 1 hour, which is faster than 65 mph.)

Question 8: A) Responses for the bikes:

• Bike 1 has traveled Response area: 20 feet (since it’s not specified.)
• Bike 2 has traveled 10 feet after Response area: 2 seconds (assuming a consistent travel distance of 10 feet.)
• If traveling a distance of 100 feet in a race, Response area: Bike 1 would win the race (if it goes faster).

Question 9: A) Set up the proportion using the path from the whales to the sharks: 3054 = $$ (input found here) 30x = $$ (cross-multiply) Solve for x: Response area: x = $54 feet.

Question 10: A) Which row does not have the same ratio as the others?

• Response: Row 2 (Because \( 5:85 \) does not simplify in the same way.)

Question 11: A) How many slices of the cherry pie did they eat?

• Response: 9 slices (since \( \frac{6}{10} \times 15 = 9 \))

Question 12: A) If 208 bagels were burned, how many bagels did they produce in total on Saturday?

• Response: 2080 bagels (Total = 208 bagels is 10%, so 100% is 2080.)

Question 13: A) Which can Isaiah afford?

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

Question 14: A) Fill in the values for cleaning time:

• Response:
  • 210 (for 210 square feet, which makes sense given the scale)
  • 48
  • 84

Question 15: A) Which table might represent Ava’s line?

• Response:
  • \( x, y \)
  • 4, 3
  • 2, 1

Question 16: A) Solve for the missing side length in the triangles:

• Response:
  • Set up equivalent ratios: 4x = $$ (Find the appropriate value)
  • Cross multiply: $$ = 36
  • Solve for x: x = $9 miles.

Question 17: A) Best path to find the number of centimeters in 1 foot?

• Response: feet to inches to centimeters

Question 18: A) Which student drew a line with a slope of \( \frac{1}{3} \)?

• Response: Without the graphs, I cannot identify the student but it would be the one with the slope ratio of 1:3.

Please note that some questions might require visual or contextual information that isn't provided in the text. Adjustments should be made if you have specific models to reference.