Most cars get their best gas mileage when traveling at a relatively slow speed. the gas mileage m for a certain new car is modeled by the function m(s)= -1/28s^2+3s-31 where s is the speed in mi/h and m is measured in mi/gal.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.