# 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 $1.02 per g kokomocutie88r1 2022-07-26 Answered The cost C of operating a certain car that gets 32 miles per gallon is a function of the price g, in dollars per gallon, of gasoline and the distance d, in miles, that you drive. The formula for C = C(g, d) is given below. C = gd 32 dollars (a) Use functional notation to express the cost of operation if gasoline costs 99 cents per gallon and you drive 280 miles. Calculate the cost. (Round the cost to two decimal places.) C ( , ) =$
(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. You can still ask an expert for help Expert Community at Your Service • Live experts 24/7 • Questions are typically answered in as fast as 30 minutes • Personalized clear answers Solve your problem for the price of one coffee • Available 24/7 • Math expert for every subject • Pay only if we can solve it ## Answers (1) Jazlene Dickson Answered 2022-07-27 Author has 15 answers Consider the following formula, $C\left(g.d\right)=\frac{gd}{32}dollars$ Here, Cis the cost of operating a certain car with the price g in dollars and the distance d in miles. (a) Suppose the gasoline costs 99 cents$0.99 and the distance is 280 miles.
Use the functional notation, the cost of operation is,
$C\left(0.99,280\right)=\frac{0.99×280}{32}dollars$
Therefore, the cost is,
$C\left(0.99,280\right)=\frac{0.99×280}{32}\phantom{\rule{0ex}{0ex}}=\frac{277.2}{32}\phantom{\rule{0ex}{0ex}}\approx 8.66$
b)
Calculate C(1.02,178).
$C\left(1.02,178\right)=\frac{1.02×178}{32}\phantom{\rule{0ex}{0ex}}=\frac{181.56}{23}\phantom{\rule{0ex}{0ex}}\approx 5.67$
This represents the cost of driving 178 miles if gas costs S1.02 per gallon.