Question

The maximum gas mileage for a compact car is estimated using the graph shown below.

The average gas mileage for an SUV is modeled by the function m(s)=−0.015(s−55)2+15, where s is the SUV's speed in miles per hour.


The difference in maximum mileage between these two vehicles is _____ mpg (miles per gallon).


Enter the number that correctly fills in the blank in the previous sentence.

Answer 1

the graph's maximum is at 33 mpg for reference −0.015(x−55)2+15so just plug it inlet's set y to 0

y=−0.015(x−55)2+15 0=−0.015(x−55)2+15 subtract 15 −15=−0.015(x−55)2 divide both sides by -0.015 1000=(x−55)2
the other maximum is at x=55
and we want the y value
at x=55, y=-0.015(55-55)^2+15 y=-0.015(0)+15 y=15
the compact has a max of 33mpg and the SUV 15mpg

so you would subtract the 33 and the 15