Question

The cost C (in dollars) to participate in a ski club is given by the literal equation C=85x+60, where X=C/85-12/17 is the number of ski trips you take.How many ski trips do you take if you spend a total of $315? How about $485?

Answer 1

Given:

The cost C (in dollars) to participate in a ski club is given by,

`\begin{gathered} C=85x+60 \\ (or) \\ x=(C)/(85)-(12)/(17) \end{gathered}`

Where x is the number of ski trips we take.

To find:

The number of ski trips when a total cost of $315 and $485 is spent.

Step-by-step explanation:

Substituting C = 315 in the given equation we get,

`\begin{gathered} x=(315)/(85)-(12)/(17) \\ x=(315-60)/(85) \\ x=(255)/(85) \\ x=3\text{ ski trips} \end{gathered}`

Substituting C = 485 in the given equation we get,

`\begin{gathered} x=(485)/(85)-(12)/(17) \\ x=(485-60)/(85) \\ x=(425)/(85) \\ x=5\text{ ski trips} \end{gathered}`

Thus,

If we spend a total cost of $315, we can take 3 ski trips.

If we spend a total cost of $485, we can take 5 ski trips.

Final answer:

• If we spend a total cost of $315, we can take 3 ski trips.

,

• If we spend a total cost of $485, we can take 5 ski trips.