Question

The cost C of operating a certain car that gets 32 miles per gallon is a function of the price g, in dollars per gallon, of gasoline and the distance d, in miles, that you drive. The formula for C = C(g, d) is given below.

C =

gd
32
dollars

(a) Use functional notation to express the cost of operation if gasoline costs 99 cents per gallon and you drive 280 miles. Calculate the cost. (Round the cost to two decimal places.)
C( , ) = $

(b) Calculate C(1.02, 178). (Round your answer to two decimal places.)
$
Explain the meaning of the number you have calculated in (b).

This represents the cost of driving 99 miles if gas costs $2.80 per gallon.This represents the cost of driving 102 miles if gas costs $1.78 per gallon. This represents the cost of driving 178 miles if gas costs $1.02 per gallon.This represents the cost of driving 280 miles if gas costs $0.99 per gallon.

Answer 1

a. C(0.99,280) = $8.66

This represents the cost of driving 280 miles if gas costs $0.99 per gallon.

b. C(1.02, 178)=5.67 would be the cost of traveling 178 miles when the price of gas is $1.02 per gallon