MATH SOLVE

5 months ago

Q:
# 17. You have $850 to buy new carpet for the game room. The dimensions of the gameroom are 20 feet by 12 feet. Write and solve an inequality that represents the costsper square foot that you can pay for the new carpet. Specify the units of measurein each step

Accepted Solution

A:

Answer:Cost of new carpet per square foot should be less than or equal to $3.54. Step-by-step explanation:Given:Money have to buy carpet = [tex]\$850[/tex]dimension of game room is 20 feet by 12 feetSo we can say length l = 20 feetand width w = 12 feetlet [tex]x[/tex] 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 = [tex]length \ l \times width \ w = 20 ft\times 12 ft = 240 \ ft^2[/tex]Total area [tex]\times[/tex] cost per square feet β€ Total money we haveHence, [tex]240 \ ft^2 \times x \leq \$850\\\\x\leq \frac{\$850}{240 \ ft^2}\\\\x\leq \$3.54 \ per \ ft^2[/tex]Hence Cost of new carpet per square foot should be less than or equal to $3.54.