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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?

Respuesta :

calculista

Let

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

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

we know that

without membership:

[tex]y=6x[/tex] -------> equation A

with membership:

[tex]y=100+4x[/tex] -------> 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 [tex](50,300)[/tex]

that means

For [tex]x=50\ sessions[/tex]

the cost is [tex]\$300[/tex] in both forms

so

to justify buying the membership

[tex]x> 50\ sessions[/tex]

therefore

the answer is

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

[tex]x> 50\ sessions[/tex]

Ver imagen calculista

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