The system of equations are p = 150 + 5n and p = 15n
Solution:
Given that, The Parks and recreation department in your town offers a season pass for $150.
With the season pass you pay $5 per session to use the town's tennis courts.
Without the season pass you pay $15 per session to use the tennis courts.
We have to write a system of equations to represent the situation
Now, let the number of sessions be "n" and total paying amount be "p"
Then in case of taking season pass
total amount = season pass cost + $5 per session
p = 150 + 5 x n
p = 150 + 5n
And in case of no season pass
total amount = 15 per session
p = 15 x n
p = 15n
Hence, the system of equations are p = 150 + 5n and p = 15n