An auto mechanic charges (C) an initial fee of $50 and then $40 per hour. If (h) represents hours, how much will the mechanic charge if he works 10 hours in one day?

The charging rate equation for the auto mechanic is C = 50 + 40h (50 for the initial fee and 40 times h for every hour). If he works 10 hours in one day we have to plug in 10 into the hours spot, h.

C = 50 + 40 (10)

Now we solve for C

C = 50 + 400

C = 450

The auto mechanic charges $450 for 10 hours.

T (cost) = C + 40h

Given C = $50 and h = 10 hours

T (cost) = 50 + 40 (10)

= 50 + 400

= 450

Answer

Total charge: $450