Jim uses the function f (x) = 0.7x + 23 to determine the amount he charges for each used

drone he sells, where x is the original value of the drone. The function g (x) = 1.08x is used to

determine the amount a customer pays for a drone at Jim's store including 8% sales tax.

Write a function to determine the total amount a customer pays for a used drone at Jim's

store including 8% sales tax.

Question

Mathematics

Emilia Ford

10 August, 01:06

Jim uses the function f (x) = 0.7x + 23 to determine the amount he charges for each used

drone he sells, where x is the original value of the drone. The function g (x) = 1.08x is used to

determine the amount a customer pays for a drone at Jim's store including 8% sales tax.

Write a function to determine the total amount a customer pays for a used drone at Jim's

store including 8% sales tax.

+2

Answers (1)

Know the Answer?

Dean Thompson · Answer 1

Each used drone is sold at a cost of f (x) = 0.7x + 23 dollars. A customer also has to pay 8% sales tax on that cost. The function g (x) = 1.08x gives us the final cost of a used drone including the tax. So we'll apply the g (x) upon the f (x) to get the final cost for each drone. It would be

g (f (x)) = 1.08 (0.7x + 23)

= 0.756x + 24.84

So the answer is h (x) = 0.756x + 24.84