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.
x = _

b. How many ski trips do you take if you spend a total of $315? $485?
_ ski trips costs $315.
_ ski trips costs $485.

Answer 1

a. x = (C -60)/85

b. 3 for $315; 5 for $485

Explanation:

Given the cost of x ski trips is C = 85x +60, you want to solve the equation for x, and find the value of x for C = $315 and $485.

Number of trips

To solve for x, we undo what is done to x.

C = 85x +60 . . . . . . x is multiplied by 85 and 60 is added

C -60 = 85x . . . . . . . add -60 to both sides to undo the addition

(C -60)/85 = x . . . . . . divide by 85 to undo the multiplication

x = (C -60)/85

For various costs

Using the given values in the equation for x, we can find the number of trips.

For C = $315, x = (315 -60)/85 = 3

3 ski trips cost $315

For C = $485, x = (485 -60)/85 = 5

5 ski trips cost $485

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