1. A car travels at a constant speed and burns g(x) liters of gas per kilometer, where x is the speed of the car in kilometers per hour and 1280 + x² g(x) = 320x

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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1. A car travels at a constant speed and burns g(x) liters of gas per kilometer, where x is the
speed of the car in kilometers per hour and
1280 + x²
320x
g(x) =
a) If fuel costs $1.29 per liter, find the cost function C(x) that expresses the cost of the fuel for a
200-km trip as a function of the speed.
b) What driving speed will make the cost of fuel equal to $300?
c) What driving speed will minimize the cost of fuel for the trip?
Transcribed Image Text:1. A car travels at a constant speed and burns g(x) liters of gas per kilometer, where x is the speed of the car in kilometers per hour and 1280 + x² 320x g(x) = a) If fuel costs $1.29 per liter, find the cost function C(x) that expresses the cost of the fuel for a 200-km trip as a function of the speed. b) What driving speed will make the cost of fuel equal to $300? c) What driving speed will minimize the cost of fuel for the trip?
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