Question

17. You have $850 to buy new carpet for the game room. The dimensions of the game

room are 20 feet by 12 feet. Write and solve an inequality that represents the costs
per square foot that you can pay for the new carpet. Specify the units of measure
in each step

Answer 1

Cost of new carpet per square foot should be less than or equal to $3.54.

Explanation:

Given:

Money have to buy carpet =
`\$850`

dimension of game room is 20 feet by 12 feet

So we can say length l = 20 feet

and width w = 12 feet

let
`x` be the cost per square foot for new carpet.

Assuming game room to be rectangular in shape we will find the area of it.

Area of room =
`length \ l * width \ w = 20 ft* 12 ft = 240 \ ft^2`

Total area
`*` cost per square feet ≤ Total money we have

Hence,

`240 \ ft^2 * x \leq \$850\\\\x\leq (\$850)/(240 \ ft^2)\\\\x\leq \$3.54 \ per \ ft^2`

Hence Cost of new carpet per square foot should be less than or equal to $3.54.