Question

The total cost C (in dollars) to participate in a ski club is given by the literal equation C=85x+60, where x is the number of ski trips you take.

a. Solve the equation for x.
b. How many ski trips do you take if you spend a total of $315? $485?

Answer 1

a.
`x=(C-60)/(85)`

b. 3 and 5 ski trips

Explanation:

Given function that shows the total cost for the x trips,

`C=85x+60----(1)`

a. For solving the above equation for x,

We need to isolate x on the left side of the equation,

From equation (1)

`85x = C - 60`

`\implies x=(C-60)/(85)`

b. If C = $ 315,

`x=(315-60)/(85)`

`=(255)/(85)`

= 3,

If C = $ 485,

`x=(485-60)/(85)`

`=(425)/(85)`

= 5

Answer 2

a)
C=85x+60
C-60=85x
(C-60)/85=x

b)
C=$315:
(315-60)/85=
255/85=3 trips

C=$485:
(485-60)/85=
425/85=5 trips