Question

The amount of money (in dollars) that it costs to purchase x square feet of carpet is given by f(x)=4.9x . The installation fee is $75 more than 6% of the cost of the carpet. Write a function g that represents the installation fee. Then use this function to find the installation fee for 100 square feet of carpet.

Answer 1

Function:
`f(y)=75+0.294x`

Fee= $104.40

Explanation:

let f(y) denote the installation fee. Given that the installation fee is $75 more that the purchase fee we represent it as:

`f(y)=75+0.06f(x)\\\\f(y)=75+0.06* 4.9\\\\f(y)=75+0.294x`

#We the substitute for x to find the installation fee:

`f(y)=75+0.294x\\\\=75+0.294*100\\\\=\$104.40`

Hence, the installation fee is $104.40