Question

Michelle leases a place which charges an initial fee and an hourly rate. The initial fee
of the place is $120 and the total cost charged for 4 hours is $400. Write an equation
for C in terms of h, representing the amount of money Michelle would have to pay to
use the place for h hours.

Answer 1

The equation required is C = $120 + $55h

In order to write the required equation, the hourly fee has to be determined first

The total cost Michelle charges is the sum of the initial fee and the hourly rate

Total cost = initial fee + hourly rate

Initial fee = $120

Hourly rate = hourly fee x hours

= 4a

Where a represents hourly fee

$400 = $120 + 4a

Combine similar terms

$400 - $120 = 4a

$220 = 4a

Divide both sides of the equation by 4

a = $55

C = $120 + $55h

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