Gas mileage depends in part on the speed of the car. The gas mileage of a luxury car is given by L ( x ) = − 0.015 x 2 + 1.44 x − 21 , where 25 ≤ x ≤ 70 represents the speed in miles per hour and L ( x ) is given in miles per gallon. a .At what speed will the car get the maximum gas mileage? b .What is the maximum gas mileage? Round to the nearest whole unit.
Gas mileage depends in part on the speed of the car. The gas mileage of a luxury car is given by L ( x ) = − 0.015 x 2 + 1.44 x − 21 , where 25 ≤ x ≤ 70 represents the speed in miles per hour and L ( x ) is given in miles per gallon. a .At what speed will the car get the maximum gas mileage? b .What is the maximum gas mileage? Round to the nearest whole unit.
Solution Summary: The author calculates the speed at which the car will get maximum car mileage by using the ti-83 calculator.
Gas mileage depends in part on the speed of the car. The gas mileage of a luxury car is given by
L
(
x
)
=
−
0.015
x
2
+
1.44
x
−
21
, where
25
≤
x
≤
70
represents the speed in miles per hour and
L
(
x
)
is given in miles per gallon.
a.At what speed will the car get the maximum gas mileage?
b.What is the maximum gas mileage? Round to the nearest whole unit.
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