The pool at "splash around" is open for 14 weeks during the summer. you can swim for $6 a session, or you can buy a membership for $100 and pay only $4 a session. which equation would you use to determine how many sessions you must use the pool to justify buying the membership?

Let

x--------> the number of sessions

y-------> the total payment

we know that

without membership:

-------> equation A

with membership:

-------> equation B

using a graph tool------> resolve the system of equations

the solution is the intersection both graphs

see the attached figure

the solution is the point

that means

For

the cost is in both forms

so

to justify buying the membership

therefore

the answer is

The equation to determine how many sessions you must use the pool to justify buying the membership is

step-by-step explanation:

898.1666667

step-by-step explanation:

5389/6 = 898.1666667