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 ) = โ 1/ 28*(๐ ^2) + (3 + ๐)๐ + (31 + ๐) , where ๐ is the speed in mi/h and M is measured in mi/gal
a. What is the carโs best gas mileage, and at what speed is it attained? Justify your answer?
b. Sketch the quadratic function manually showing all steps.
+36915 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....
