Question

two types of memberships are available for a water park:

• an unlimited use membership for $70 per month, or
• a monthly $10 fee plus $5.00 per visit.

enter an equation that can be used to find the number of visits (v) per month needed for the two membership types to cost the same amount.

Explanation:

Step1: Set up cost equations

Let \(v\) be the number of visits.
For the first membership (monthly \( \$10\) fee plus \( \$5\) per visit), the cost \(C_1 = 10 + 5v\).
For the second membership (unlimited use for \( \$70\) per month), the cost \(C_2=70\).

Step2: Set \(C_1 = C_2\)

We want to find when \(10 + 5v=70\).

Step3: Solve for \(v\)

Subtract \(10\) from both sides: \(5v=70 - 10\).
So, \(5v = 60\).
Divide both sides by \(5\): \(v=\frac{60}{5}\).

Answer:

The equation is \(10 + 5v=70\).