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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.

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 class=

Verified Answer :

AlyssaGhost

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

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