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Most cars get their best gas mileage when traveling at relatively modest speed. The gas mileage M for a certain new car is modeled by the function. ๐‘€(๐‘ ) = โˆ’ 1/ 28*(๐‘ ^2) + (3 + ๐‘š)๐‘  + (31 + ๐‘š) , where ๐‘  is the speed in mi/h and M is measured in mi/gal

a. What is the carโ€™s best gas mileage, and at what speed is it attained? Justify your answer?

b. Sketch the quadratic function manually showing all steps.

 Jun 24, 2021
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You question does not state what 'm' is....

    the function is a dome shaped parabola due to the  negative coeficient of   s^2

       the maximum (at the vertex) will be at a value of 's' given by     - b/ 2a   where    b = 3+m    and    a = - 1/28

            you will need to know the value of 'm' to calculate this speed

                use this speed in the equation to calculate the car's best mileage.... 

 Jun 24, 2021

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