Proportional Reasoning

Proportional Reasoning Reteach/Retest

#1 - Constant of Proportionality (Unit Rate)

​An online game increases in number of users at a rate of 500 users each day. Which graph best represents the relationship between y, the number of users, and x the number of days?

Multiple Choice

The graph represents the linear relationship between the number of books Layla has read and the number of months she has been a member of a book club.

• Layla read 2 books in the first 3 months.

• Layla read 3 books in the first 2 months.

• Layla read 3 books in the first 4 months.

• Layla read 4 books in the first 3 months.

The price of a computer is $899.00. The sales tax rate is 7%. What is the sales tax on this

computer in dollars and cents?

​#2 - Sales Tax

Open Ended

The price of an iPhone 14 is $999.00. The sales tax rate is 8.5%. What is the total amount including the sales tax on this iPhone 14 in dollars and cents?

#3 - Converting Measurements

The length of a ruler is 12 inches. There are approximately 25.4 millimeters in 1 inch.

Which measurement is closest to the length of the ruler in millimeters?

Open Ended

The length the community swimming pool is 45 feet. There is approximately 1 yard in 3 feet.

Which measurement is closest to the length of the swimming pool in yards?

#4 - Constant of Proportionality

A car travels 210 miles in 3.5 hours. The distance in miles the car travels is directly proportional to the time in hours the car travels.

What is the constant of proportionality that relates the distance in miles the car travels, y, to the time in hours, x?

Multiple Choice

The number of buses needed for a school field trip depends on the total number of people going. One field trip required 7 buses for a total of 252 students and adults. What is the rate of people per bus?

• 26

• 31

• 36

• 42

#5 - Rate Table

A car travels 90 miles in 2 hours. Complete the table.

Draw

Complete the Rate Table