Question

An interior designer charges $100 to visit a site, plus $55 to design each room. Identify a function that represents the total amount he charges for designing a certain number of rooms. What is the value of the function for an input of 6, and what does it represent?

Answer 1

C(r) = 100 + 55r

C(6) = $430

Explanation:

Fixed charges = $100

Charges per room = $55

A. function that represents the total amount he charges for designing a certain number of rooms.

Let

r = number of rooms

C = Total amount charged

C(r) = 100 + 55r

The function is C(r) = 100 + 55r

B. What is the value of the function for an input of 6, and what does it represent

C(r) = 100 + 55r

When r = 6

C(6) = 100 + 55 * 6

= 100 + 330

= 430

C(6) = $430

This means that the amount charged for 6 rooms is $430