Dominic is deciding if he should become a member of his local ice rink.

The $144 annual membership fee at the ice rink includes admission and parking, members pay $4.00 per visit to rent ice skates.
Non-members pay $11 admissions, $5.00 for parking and they also pay $4.00 per visit to rent ice skates.
1. When is it better to be a member?
After 4 visits how much would each pay? Member: $___ Non-Member: $
After 6 visits how much would each pay? Member: $_ Non-Member: $______
2. Write an equation that could be solved for the number of visits it would take for the cost of the non-member to be equal to the member.

3. Solve the equation.

4. What is the total cost for each?

5. Explain how Dominic could use the above results to make his decision on becoming a member.

Dominic can guess the number of visits he plans to make in a year. If it would be greater than 9, he should pay for the membership. If not, he should not become a member.

What is the total cost for members and non members after 4 and 6visits?

Total cost for members = annual fee + (number of visits x cost per visit)

Total cost for non-members = (admissions + parking + cost of renting the ice skate) x number of visits

After 4 visits:

Total cost for members = $144 + (4 x 4) = $160

Total cost for non-members = (11 + 5 + 4) x 4 = $80

After 6 visits:

Total cost for members = $144 + (4 x 6) = $168

Total cost for non-members = (11 + 5 + 4) x 6 = $120

The equation that can be used to solve for the number of visits the cost would be equal is: $144 + 4n = $20n

In order to determine the value of n, take the following steps:

Combine similar terms: $144 = $20n - $4n

Add similar terms together : $144 = $16n

Divide both sides by 16 : 144 / 16

n = 9

Total cost = $20 x 9 = $180

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