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.
write a system of equations to represent the situation

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