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?

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

0.038

step-by-step explanation:

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).