Question

The cost for the raw materials of marble countertops, C s can be represented by the function c(a) = 4.25a , where a is the area of the countertops. The retail markup, m, can be represented by the function m(c) = 1.15c.

Which function can be used to find the marked-up price of a marble countertop depending on the area?

m(c(a)) = 4.8875a

m(c(a)) = 3.6957a

m(c(a)) = 5.4a

m(c(a)) = 3.1a

Answer 1

m(c(a)) = 4.8875a can be used to find the marked-up price of a marble countertop depending on the area

Explanation:

We are given that The cost for the raw materials of marble countertops, C s can be represented by the function c(a) = 4.25a --------1

a = area of the countertops.

we are also given that The retail markup, m, can be represented by the function m(c) = 1.15c.

We are supposed to find function can be used to find the marked-up price of a marble countertop depending on the area?

Marked up price function : m(c) = 1.15c.

Substitute the value of c form 1

Marked up price function of a marble countertop depending on the area:

m(c(a))=1.15(4.25 a)

m(c(a))= 4.8875 a

So, Option 1 is true

Hence m(c(a)) = 4.8875a can be used to find the marked-up price of a marble countertop depending on the area