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))

Question

Scarlet Owens

Mathematics

19 October, 23:29

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))

+2

Answers (1)

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Corey · 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.