Question

The Chin family is taving new cacpet installed in the dining room. The carpet costs 5249 for Installacion and $9 for each squere yard. Wnte an equation that con be used ra find the numbec of square yards of carper installer if the rotal cost is $465.

Answer 1

To find the number of square yards of carpet installed for a total cost of $465, calculate $465 minus the fixed cost of $249, then divide the result by $9 per square yard, yielding 24 square yards.

Step-by-step explanation:

The Chin family is having new carpet installed in their dining room with a fixed installation cost and a variable cost based on the number of square yards of carpet installed. To write an equation that can be used to find the number of square yards of carpet installed if the total cost is $465, we use the given cost information. The fixed installation cost is $249, and the cost per square yard is $9.

We represent the number of square yards of carpet as y. The total cost C is the sum of the fixed installation cost and the cost per square yard times the number of square yards: C = installation cost + ($9 × y). To find the number of square yards, we plug in $465 for the total cost C and solve for y:

C = $249 + $9 × y
$465 = $249 + $9 × y
y = ($465 - $249)/$9
y = $216/$9
y = 24

Hence, the number of square yards of carpet installed is 24.