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 quantity is constant.

Front

How do you write an equation for a proportional relationship?

Back

An equation for a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

If 3 cans store 9 tennis balls, how many balls are in each can?

Back

y = 3x, where y is the number of balls and x is the number of cans.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1. For example, if 5 gallons of ice cream cost $17.50, the unit rate is $3.50 per gallon.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio between the two quantities remains constant.

Front

What does the equation y = 4x represent?

Back

This equation represents a proportional relationship where for every increase of 1 in x, y increases by 4.

Front

If a bucket fills at a rate of ¾ inch every ⅙ hour, how do you find the total time to fill the bucket?

Back

To find the total time, divide the height of the bucket by the rate of filling.

Front

What is the constant of proportionality?

Back

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

Front

How can you represent a proportional relationship in a table?

Back

A proportional relationship can be represented in a table by listing pairs of values that maintain a constant ratio.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is when the ratio between two quantities changes, such as when a store has a sale that changes the price of items.