A truck has a minimum speed of 14 mph in high gear. When traveling x mph, the truck burns diesel fuel at the rate of 1225 gal 0.0043315 + x mile Assuming that the truck can not be driven over 59 mph and that diesel fuel costs $1.96 a gallon, find the following. (a) The steady speed that will minimize the cost of the fuel for a 500 mile trip. (b) The steady speed that will minimize the total cost of a 500 mile trip if the driver is paid $13 an hour. = X (c) The steady speed that will minimize the total cost of a 390 mile trip if the driver is paid $23 an hour.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Question
A truck has a minimum speed of 14 mph in high gear. When traveling x mph, the
truck burns diesel fuel at the rate of
1225
gal
0.0043315
+ x
mile
Assuming that the truck can not be driven over 59 mph and that diesel fuel costs
$1.96 a gallon, find the following.
(a) The steady speed that will minimize the cost of the fuel for a 500 mile trip.
(b) The steady speed that will minimize the total cost of a 500 mile trip if the driver is
paid $13 an hour.
x =
(c) The steady speed that will minimize the total cost of a 390 mile trip if the driver is
paid $23 an hour.
x =
Transcribed Image Text:A truck has a minimum speed of 14 mph in high gear. When traveling x mph, the truck burns diesel fuel at the rate of 1225 gal 0.0043315 + x mile Assuming that the truck can not be driven over 59 mph and that diesel fuel costs $1.96 a gallon, find the following. (a) The steady speed that will minimize the cost of the fuel for a 500 mile trip. (b) The steady speed that will minimize the total cost of a 500 mile trip if the driver is paid $13 an hour. x = (c) The steady speed that will minimize the total cost of a 390 mile trip if the driver is paid $23 an hour. x =
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