Question

3 cars are washed every 27 minutes at a car wash

Express the unit rate as a shaded fraction of the circle below

Answer 1

⅑ car per minute (see explanation for number of shaded segment)

Explanation:

Given

3 cars washed every 27 minutes

Required

Unit Rate

Given that 3 cars are washed every 27 minutes.

This statement can be represented mathematically as follows;

3 cars = 27 minutes

To get the unit rate, we simply divide both sides by 3.

This gives

3 cars / 3 = 27 minutes / 3

1 car = 9 minutes

This means that an average of 1 car is washed every 9 minutes.

i.e. 1 car/9 minutes or ⅑ car per minute

Representing the unit rate as a shaded fraction of the given circle.

First there are 9 segments of the circle.

To get ⅑, only 1 segment of the circle will be shaded.