A house painting company charges $376 plus $12 per hour. Another painting company charges $280 plus

A house painting company charges $376 plus $12 per hour. Another painting company charges $280 plus $15 per hour. How long is a job for which both companies will charge the same amount?

Set up the cost function for the first company C(h) where h is the number of hours:
C(h) = Hourly Rate * h + flat rate
C(h) = 12h + 376

Set up the cost function for the first company C(h) where h is the number of hours:
C(h) = Hourly Rate * h + flat rate
C(h) = 15h + 280

The problem asks how many hours will it take for both companies to charge the same. So we set the cost functions equal to each other:
12h + 376 = 15h + 280

Plugging this equation into our search engine and solving for h, we get:
h = 32