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24 June, 05:00

The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Suppose that the mpgʹs for the five models of a manufacturer are 19, 21, 22, 28, and 18, and the government requirement is 25 mpg. The last of the models is to be redesigned to meet the government requirement. What must the new mpg of this model be to meet the requirement?

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  1. 24 June, 07:53
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    25 mpg

    Step-by-step explanation:

    We have a set of values 19, 21, 22, 28 and 18

    The average (which is the mean of the set of values) is:

    19 + 21 + 22 + 28 + 18 = 21.6 mpg out of the government requirement

    So we need a value such as the mean become at least 25 mpg

    We have to solve the equation:

    (19+21+22+28 + x) / 5 = 25

    (90 + x) / 5 = 25 ⇒ 90 + x = 125 ⇒ x = 35 mpg

    If we get the mean of the set of values including 35 we have:

    (19 + 21 + 22 + 28 + 35) / 5 = 25 mpg government requirement
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