Question

The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Suppose that the average mpg for the four models manufactured is 24 mpg and the government standard is 31 mpg. The manufacturer will add a model. What mileage must the new model get so that the manufacturer meets the government requirement?

Answer 1

The mileage must the new model get so that the manufacturer meets the government requirement is 59 mpg.

Explanation:

Consider the provided information.

Here it is given that the average mpg for the four models manufactured is 24 mpg.

The total mpg for the four models = 4 × 24 = 96

The manufacturer will add a model and the government standard is 31 mpg.

This can be written as:

`(96+x)/(5)=31`

`96+x=155`

`x=155-96`

`x=59`

Hence, the mileage must the new model get so that the manufacturer meets the government requirement is 59 mpg.