Question

The cost for the raw materials of marble countertops, can be represented by the function , where is the area of the countertops. The retail markup, can be represented by the function. Which function can be used to find the marked-up price of a marble countertop depending on the area?

Answer 1

`m(c(a)) = 4.8875a`

Explanation:

The missing parameters are:

`c(a) = 4.25a` --- Cost of marble countertops

`m(c) = 1.15c` --- Cost of retail markup

Required

The cost of marked up price

This implies that we calculate m(c(a))

We have:

`c(a) = 4.25a`

`m(c) = 1.15c`

`m(c) = 1.15c` can be written as:

`m(c(a)) = 1.15*c(a)`

Substitute:
`c(a) = 4.25a`

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

`m(c(a)) = 4.8875a`

Hence, the cost of marked up price is:
`m(c(a)) = 4.8875a`