$\"\"$

\

a.

\

Find the inverse $\"\"$ .

\

Find the inverse of $\"\"$ by replacing $\"\"$ with $\"\"$ and then interchange $\"\"$ and $\"\"$ .

\

The function $\"\"$ .

\

Replace $\"\"$ with $\"\"$ .

\

$\"\"$

\

Interchange $\"\"$ and $\"\"$ .

\

$\"\"$

\

Divide each side by $\"\"$ .

\

$\"\"$

\

Replace $\"\"$ with $\"\"$ .

\

$\"\"$ .

\

$\"\"$ will allow the installer to convert the square footage of the living room to square yards, then the cost of the new carpet can be calculated.

\

$\"\"$

\

b.

\

Find the cost of new carpet.

\

The square footage of the living room is 12-foot by 15-foot (or) 180 square feet.

\

Consider $\"\"$ .

\

Substitute $\"\"$ in above function.

\

$\"\"$

\

Therefore, the living room is 20 square yards.

\

So, the cost of the new carpet is $13.99 by $ 20 (or) $279.80.

\

$\"\"$

\

a. $\"\"$ , it will allow the installer to convert the square footage of the living room to square yards, then the cost of the new carpet can be calculated.

\

b. The cost of the new carpet is $279.80.