LEAP - Louisiana Educational Assessment Program Ratios and Proportional Relationships Questions and Answers

Question 1

A grocery store sells two different sizes of orange juice.
A 64-ounce carton costs $3.84, and a 96-ounce carton costs $5.28.
Which of the following statements is true about the price of the orange juice?

Accepted Answer

The 96-ounce carton costs $0.055 per ounce.

Answer

The 64-ounce carton costs $0.05 per ounce.

Answer

The 64-ounce carton is a better value.

Answer

Both cartons cost the same amount per ounce.

Question 2

A car travels at a constant speed. The relationship between the distance traveled (d) in miles and the time (t) in hours is represented by the equation d = 55t. What is the constant of proportionality in this relationship?

Accepted Answer

55

Answer

d

Answer

t

Answer

There is no constant of proportionality.

Question 3

A recipe for a batch of 12 cookies requires 1 1/2 cups of flour. A baker wants to make 30 cookies. How many cups of flour will the baker need?

Accepted Answer

3 3/4 cups

Answer

2 1/4 cups

Answer

3 cups

Answer

4 1/2 cups

Question 4

The graph below shows the relationship between the number of hours a plumber works and the total amount they charge. Which statement correctly interprets the point (2, 150) on the graph?

Accepted Answer

The plumber works for 2 hours and charges $150.

Answer

The plumber charges $75 for 150 hours of work.

Answer

The plumber charges $2 for 150 hours of work.

Answer

The plumber's hourly rate is $150 per hour.

Question 5

Last year, a local library had 8,000 books. This year, the number of books increased by 5%. How many books does the library have now?

Accepted Answer

8,400 books

Answer

8,005 books

Answer

400 books

Answer

12,000 books

Question 6

Which of the following tables represents a proportional relationship between x and y?

Accepted Answer

x: 3, 6, 9, 12; y: 1, 2, 3, 4

Answer

x: 1, 2, 3, 4; y: 3, 5, 7, 9

Answer

x: 2, 4, 6, 8; y: 5, 10, 15, 20

Answer

x: 1, 2, 3, 4; y: 1, 8, 27, 64