A mechanic charges $50 to inspect your heater, plus $80 per hour to work on it. You owe the mechani

[math_celebrity]

A mechanic charges $50 to inspect your heater, plus $80 per hour to work on it. You owe the mechanic a total of $310. Write and solve an equation to find the amount of time h (in hours) the mechanic works on your heater.

We calculate the cost function C(h) as:
C(h) = Hourly Rate * hours + Flat Fee Inspection
C(h) = 80h + 50 <-- this is our cost equation

Now, we want to solve for h when C(h) = 310
80h + 50 = 310

We type this equation into our search engine and we get:
h = 3.25