Question

Joyce is buying a pair of jeans for $39.99. The jeans are on sale at a 20% discount and the sales tax is 7%. Write a function T(x) to represent the total cost of an item with 7% sales tax. Find the composite function (T of S)(x).Use the composition to find the final cost of the jeans.

Jason bought a vase with $50 gift certificate. The vase was marked 33% off, and the sales tax was 5.5%. If he paid $45.95 for the vase, use the composition of functions to determine the original price of the vase.

An auto mechanic charges $35 per hour for labor plus $45 for parts for a tune up on six-cylinder car. The cost of a tune up function determined by the formula C(t)=35t+45. The amount of time for the tune up is determined by a formula given in the manual, A(x)=0.5x, where x is a numerical code for the particle make of car.Write a formula for the cost of tune up in terms of the numerical code. If the numerical code for certain car is 3, determine the final cost of the tune up.

Answer 1

Joyce is buying a pair of jeans for $39.99. The jeans are on sale at a 20% discount and the sales tax is 7%. Write a function T(x) to represent the total cost of an item with 7% sales tax. Find the composite function (T of S)(x).Use the composition to find the final cost of the jeans.

Answer 2

The price of a necklace is $15.99. if the salesperson earns 9% commission on their sales, how much commission is earned on the sale of the necklace