Question

The cost charged for each burger, c, at Bobby's Burger Palace is based on the cost of a plain burger plus an additional charge for each topping t. C=0.95t+3.95

Answer 1

`C'(t) = (t-3.95)/(0.95)`

Explanation:

Given

`C=0.95t+3.95`

Required

The inverse function

`C=0.95t+3.95`

Swap C and t

`t=0.95C+3.95`

Make C the subject

`0.95C = t - 3.95`

Divide by 0.95

`C = (t)/(0.95) - (3.95)/(0.95)`

Hence, the inverse function is:

`C'(t) = (t)/(0.95) - (3.95)/(0.95)`

or

`C'(t) = (t-3.95)/(0.95)`