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.
C = 85x+60
C-60 = 85x
(C-60)/85 = x
To solve the equation C = 85x + 60 for x, we want to isolate x on one side of the equation.
C = 85x + 60
To isolate x, we first need to get rid of the constant term on the right side of the equation. We can do this by subtracting 60 from both sides:
C - 60 = 85x + 60 - 60
C - 60 = 85x
Now, we want to get x by itself, so we divide both sides of the equation by 85:
(C - 60) / 85 = (85x) / 85
(C - 60) / 85 = x
Therefore, the equation C = 85x + 60 is solved for x as x = (C - 60) / 85.