After a hurricane, repairs to a roof will cost $2700 for materials and $50/hr in labor.

Question

Write a model that represents the cost of the repair C (in $) in terms of the number of hours of labor x.

The model that represents the cost of repairs is C = ______.

Choose one of the following, entering the letter representing your choice in the box below:

(a) C = 2700x + 50

(b) C = 2700x - 50

(c) C = 50x + 2700 

(d) C = 50x - 2700 

If an estimate for a new roof is $4600, after how many hours of labor would the cost to repair the roof equal the cost of a new roof?

It would take ______ hours of labor for the cost of the repair job to equal the cost of a new roof.

Answer 1

C) C = 50x +2700

4600 = 50x +2700

50x = 1900

x = 1900/50 = 190/5 = 38 hours of labor