Proportional Relationships

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 can you identify a proportional relationship in a table?

Back

A table shows a proportional relationship if the ratios of corresponding values are equal.

Front

What is the formula for calculating speed?

Back

Speed = Distance ÷ Time.

Front

If a map shows a distance of 2 inches representing 10 miles, what is the scale of the map?

Back

The scale is 1 inch = 5 miles.

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, as one quantity increases, the other quantity increases at a constant rate.

Front

How do you find the unit rate from a proportional relationship?

Back

The unit rate is found by dividing the total amount by the number of units, giving the amount per one unit.

Front

If Erika sells coffee beans for $8.99 per pound, how much would 3 pounds cost?

Back

$26.97 (3 pounds x $8.99 per pound).

Front

What is the average speed if a person travels 30 miles in 1.5 hours?

Back

20 miles per hour (30 miles ÷ 1.5 hours).

Front

If Amy charges $6 per hour for babysitting, how much does she charge for 5 hours?

Back

$30 (5 hours x $6 per hour).

Front

What is the constant of proportionality in the equation y = 3x?

Back

The constant of proportionality is 3.