Proportional Relationships Review

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

If 5 toys fit in 1 carton, how many toys fit in 3 cartons?

Back

15 toys (5 toys/carton x 3 cartons = 15 toys).

Front

What does it mean if two quantities are proportional?

Back

It means that as one quantity increases or decreases, the other quantity does so at a constant rate.

Front

Sasha can mow 3/8 of an acre in 3/4 of an hour. How many acres does she mow in 1 hour?

Back

1/2 acre per hour.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, is this a proportional relationship?

Back

Yes, because the ratio of flour to sugar remains constant.

Front

What is the unit rate of 18.5 miles in 1 hour?

Back

18.5 miles per hour.

Front

If 4 apples cost $2, what is the cost of 10 apples?

Back

$5 (Cost per apple is $0.50, so 10 apples cost 10 x $0.50 = $5).

Front

How do you determine if a relationship is proportional using a graph?

Back

A proportional relationship will graph as a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities.

Front

If 10 gallons of paint cover 400 square feet, how much area will 25 gallons cover?

Back

1,000 square feet (10 gallons covers 400 sq ft, so 25 gallons covers 25/10 x 400 = 1,000 sq ft).