Question

Joining the frequent visitor program at the planetarium costs $5 per year, write an equation that can be used to determine n, the number of visits per year for which the cost of being a member of the frequent visitor program is equal to the cost of not being a member. Tickets cost $11 for each student who is a member of the planetarium's frequent visitor program and $13 for each student who is not a member.

Answer 1

The problem ask to calculate or formulate an equation that can be used to determine the number of visits per year for which the cost being a member of the frequent visitor program is equal to the cost of not being a member so the equation would be 11n+5=13n

Answer 2

Answer: 5 + 11n = 13n

Explanation:

1) Cost of n visits for a student that is a member

a) Frequent visitor program fee: $5

b) cost of n tickets at $11 each: $11n

c) total cost: $5 + $11n

2) Cost of n visits for a non-member student

a) $13n

3) Equal cost condition:

5 + 11n = 13n ← answer

That is the equation requested, which you can solve to find the number of visits for which the costs are equal:

5 = 13n - 11n

5 = 2n

5/2 = n

2.5 = n

Therefore, 3 visits in a year justifiy the cost of being a member.