Answer:
Total cost as per Lowe's is $260 more than that of Home Depot.
Step-by-step explanation:
Given that:
Alexandro received two quotes for new carpet.
One from Home Depot and other from Lowe's.
Let quote from Home Depot =
per sq foot
As per question statement,
The quote from Lowe's =
+0.20 per sq foot
Alexandro plans to buy 1,300 square feet of carpet.
Total Cost as per Home Depot's quote = ![\$1300x](https://tex.z-dn.net/?f=%5C%241300x)
Total Cost as per Lowe's = ![\$(x+0.20)\times 1300 = \$1300x + \$260](https://tex.z-dn.net/?f=%5C%24%28x%2B0.20%29%5Ctimes%201300%20%20%3D%20%5C%241300x%20%2B%20%5C%24260)
Now taking the difference of the total cost:
Lowe's total cost - Total cost as per Home Depot.
![\$1300x+\$260 - \$1300x \\\Rightarrow \$260](https://tex.z-dn.net/?f=%5C%241300x%2B%5C%24260%20-%20%5C%241300x%20%5C%5C%5CRightarrow%20%5C%24260)
So, the answer is:
Total cost as per Lowe's is <em>$260 more</em> than that of Home Depot.