Question

1) A furniture store charges 6.5% sales tax on the cost of the furniture and a $20 delivery fee. (The delivery fee is not subject to sales tax.)

The following functions represent the situation:
f(a) = 1.065 a
g(b) = b+20
Part A : Write the function g(f(a)).

Part B : Match each of the following to what they represent. Some letters will be used twice.

a A. The cost of the furniture, sales tax, and delivery fee.

b B. The cost of the furniture and sales tax.

f(a) C. The cost of the furniture.

g(b)

g(f(a))

Answer 1

f(a) = 1.065a
g(b) = b + 20

g(f(a)) = g(1.065a) = 1.065a + 20

a is is the cost of furniture.
b is the cost of the furniture and sales tax.
f(a) is the cost of furniture and sales tax.
g(b) is the cost of the furniture, sales tax and delivery fee.
g(f(a)) is the cost of the furniture, sales tax and delivery fee.