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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?

Verified Answer :

calculista

Let

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

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

we know that

without membership:

\(y=6x\) --------> equation \(1\)


with membership:

\(y=100+4x\) --------> equation \(2\)

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

see the attached figure

the solution is the point \((50,300)\)

that means

For \(x=50\ sessions\)

the cost is \(\$300\) in both forms

so

to justify buying the membership

\(x > 50\ sessions\)

therefore

the answer is

\(x > 50\ sessions\)


View image calculista

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