1.1 Unit Rates

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you find the constant of proportionality in an equation?

Back

The constant of proportionality can be found by identifying the coefficient of the variable in a linear equation of the form y = kx, where k is the constant.

Front

What is the constant of proportionality in the equation y = 1/8x?

Back

k = 1/8

Front

What is the constant of proportionality in the equation y = -2x?

Back

k = -2

Front

If Megan drives for 7 hours at a speed of 45 miles per hour, how many miles will she have driven?

Back

315 miles

Front

If I have one can of paint and can paint 3 bird houses, what is the unit rate of bird houses painted per can?

Back

3 Houses per can

Front

What is the unit rate if a car travels 90 miles in 2 hours?

Back

45 miles per hour

Front

If a recipe requires 4 cups of flour to make 8 cookies, what is the unit rate of flour per cookie?

Back

0.5 cups of flour per cookie

Front

What is the unit rate if a person earns $180 for 6 hours of work?

Back

$30 per hour

Front

How do you convert a ratio to a unit rate?

Back

To convert a ratio to a unit rate, divide both quantities by the second quantity to find out how much of the first quantity corresponds to one unit of the second.