a local pool charges a $6 sign up fee plus $2 per visit as as summer special. Another pool runs a summer special that only charges $3 per visit.
Write a system of equations to represent this situation.
Is it 6+ 2x=y
3x=y
Right.
To represent the situation, let's assign variables to the unknowns and write an equation for each pool's charges.
Let's say:
x = number of visits to the pool
For the first pool, they charge a $6 sign-up fee plus $2 per visit. The equation to represent the charges for the first pool is:
y = 6 + 2x
For the second pool, they only charge $3 per visit. The equation to represent the charges for the second pool is:
y = 3x
So the system of equations that represents this situation is:
1) y = 6 + 2x
2) y = 3x