Question

rugs Emporium installs carpet for $80 plus $9.50 per square yard of carpet carpets 4 U charges $120 for installation and $7.50 per square yard of carpet. write and solve an inequality to find the number of square yards of carpet for which rugs emporium charges more than carpets 4 u

Answer 1

The area of the carpet must be greater than 20 square yards for which Rugs Emporium charges more than Carpets 4U.

Explanation

Suppose, the number of square yards of carpet is  $x$

Rugs Emporium charges $80 plus $9.50 per square yard of carpet. So, the total charge for $x$ square yards of carpet $= (80+9.50x) dollar$

Carpets 4U charges $120 for installation and $7.50 per square yard of carpet. So the total charge for $x$ square yards of carpet $=(120+7.50x) dollar$

If the Rugs Emporium charges more than Carpets 4U , then the inequality will be.....

$80+9.50x>120+7.50x\\ \\ 9.50x-7.50x>120-80 \\ \\ 2x>40\\ \\ x>20$

So, the area of the carpet must be greater than 20 square yards for which Rugs Emporium charges more than Carpets 4U.