A truck has a minimum speed of 15 mph in high gear. When traveling x mph, the truck burns diesel fuel at the rate of 1024 +x ) gal 0.0047629 mile Assuming that the truck can not be driven over 61 mph and that diesel fuel costs $1.69 a gallon, find the following.

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A truck has a minimum speed of 15 mph in high gear. When traveling x mph, the
truck burns diesel fuel at the rate of
1024
+ x
gal
0.0047629
X
mile
Assuming that the truck can not be driven over 61 mph and that diesel fuel costs $1.69 a
gallon, find the following.
(a) The steady speed that will minimize the cost of the fuel for a 430 mile trip.
X = 32
(b) The steady speed that will minimize the total cost of a 430 mile trip if the driver is paid
$17 an hour.
X = 65
(c) The steady speed that will minimize the total cost of a 590 mile trip if the driver is paid
$25 an hour.
X =| 7.23
Transcribed Image Text:A truck has a minimum speed of 15 mph in high gear. When traveling x mph, the truck burns diesel fuel at the rate of 1024 + x gal 0.0047629 X mile Assuming that the truck can not be driven over 61 mph and that diesel fuel costs $1.69 a gallon, find the following. (a) The steady speed that will minimize the cost of the fuel for a 430 mile trip. X = 32 (b) The steady speed that will minimize the total cost of a 430 mile trip if the driver is paid $17 an hour. X = 65 (c) The steady speed that will minimize the total cost of a 590 mile trip if the driver is paid $25 an hour. X =| 7.23
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