Proportional Relationships Quick 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 quantity is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented in the equation y = kx.

Front

Write the equation for a proportional relationship where the constant of proportionality is 5.

Back

y = 5x

Front

If a car travels 120 miles in 2 hours, what is the unit rate in miles per hour?

Back

60 miles per hour

Front

What does the equation y = 14x represent in a proportional relationship?

Back

It represents that for every unit increase in x, y increases by 14.

Front

How do you find the cost per item in a proportional relationship?

Back

Divide the total cost by the number of items.

Front

If 3 apples cost $1.50, what is the cost per apple?

Back

$0.50 per apple

Front

What is the unit rate if a person runs 10 miles in 5 hours?

Back

2 miles per hour

Front

In the equation y = kx, what does k represent?

Back

k represents the constant of proportionality.

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.