Time remaining:
What was the area of the room that was carpeted?

Tutor: None Selected Time limit: 0 Hours

A contractor charges $209 to carpet a 90-square-foot room and $289 to carpet a 140-square-foot room. The contractor charged a customer $553 to carpet a room under this same pricing plan. What was the area of the room that was carpeted?

Mar 20th, 2015

Given only two points and expected to solve it, it;s fair to assume this is a system of linear equations, of the form Cost = Area * Price per square foot + Constant. Let's call the cost per square foot a, and the constant c:

90a + c = 209

140a + c = 289

Subtract the first from the second:

50a = 80

a = 1.6

Sub that back in to find c:

90*1.6 + c = 209

144 + c = 209

c = 65

So now we have:

Area * 1.6 + 65 = cost

And for cost 553 we get:

1.6A + 65 = 553

1.6A = 488

A = 305 square feet

Mar 20th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
Mar 20th, 2015
Mar 20th, 2015
May 30th, 2017
Mark as Final Answer
Unmark as Final Answer
Final Answer

Secure Information

Content will be erased after question is completed.

Final Answer