Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1.075t (5 points) You order delivery from the local pizza restaurant. The functi

ID: 2911535 • Letter: 1

Question

1.075t (5 points) You order delivery from the local pizza restaurant. The function f determines the cost of a meal in terms of the pre-tax subtotal, t, where f(t) The function g determines the delivery charge in terms of the pre-tax subtotal, t where g(t) = 0.1 t. a) Do you pay more for tax or delivery? A. You pay more for delivery because 1 /10 is greater than 1 /75 B. You pay more for delivery because 1/10 is greater than 75/1000 c. You pay more for tax because 1.075 is greater than 0.1 D. You pay more for tax because 75 is greater than 10 O E. None of the above b) Define a function h that determines the total cost of your meal, including tax and delivery charge, in terms of the pre-tax subtotal, t. Simplify your answer as much as possible c) Suppose you know that you will pay $ 1.50 in delivery charges. i) What is the pre-tax subtotal of the pizza? (Round your answer to the nearest penny.) li) What is the cost of the meal, including tax and delivery? (Round your answer to the nearest hundredth.) d) Define a function p that determines the total cost of your meal, including tax and delivery charge, in terms of the delivery charge, d

Explanation / Answer

a) f(t) = 1.075t

g(t) = 0.1t

you pay more tax because 1.075 is greater than 0.1

b) h = 1.075t + 0.1t

h = 1.175t

c) 1.50 = 0.1t

t = 15

i) pre tax subtotal of the pizza is 15

ii) cost of meal = 1.075 (15)

= 16.125

cost of meal including tax and delivery = 16.125 + 1.5 = 17.63