Question

Timmy wants to install a wooden floor in a square room. The cost to install the floor is $24 per 4 square feet.
a. Write a function to find the area of the room as a function of its length.
b. Write a function for the cost to install the floor as a function of its area.
c. Write a function to find the total cost to install the floor.
d. Show how the function in part (c) is the result of a composition of two functions.
e. How much does it cost to install a wood floor in a square room with a side length of 10 feet?

Answer 1

Answer:

A = L²

C = 6A

C =6(L²)

$600

Step-by-step explanation:

a. If the length of a square room is L, then floor area of the room (A) is given as  

A = L² ....... (1)

b. If the cost of installation of the floor is $24 per 4 square feet i.e. $6 per unit square feet, then the cost (C) of flooring A square feet area will be

C = 6A ......(2)

c. From equations (1) and (2), the total cost of installation of the floor is  

C =6(L²) ...... (3)

d. There are two functions in equation (1) and in equation (2) and the composite one in equation (3).

e. If the length of the square floor is 10 feet, then the total cost of flooring will be

C = 6 ( 10² ) = $600 {From equation (3)}