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WILL MARK BRAINLIEST!!!!!
A video game club charges a fixed annual membership fee of $18 and $3 per video game rented. Let f(n) represent the total annual cost of renting n video games. Which of the following functions best represents the relationship between f(n) and n if the membership was increased by $20 the next year?

Answer choices:
f(n) = 18n + 38
f(n) = 38n + 18
f(n) = 3n + 38
f(n) = 3n + 18

Respuesta :

daratasourus
f (n)=3n+38 is the function for next year
ibranoguera

Answer:

[tex]f(n) = 3n+38[/tex]

Step-by-step explanation:

This equation will be comprised of a fixed part and a variable part, since the end payment has the anual fee and the variable payment.

At this moment, the fixed payment is 18$, regardless of how many games you rent, you pay 18$ annually for having the service, and the contract states that for every game you rent you need to pay and extra 3$, so 3n, where n isthe number of games, as stated in the problem.

The equation today would be:

[tex]f(n) = 18+3n[/tex]

But there is an increase for the next year of 20$ regardless of how many games, so that adds to the fixed payment: 18+20=38.

Since there is no increase in the variable payment, the equation woud end up as:

[tex]f(n) = 38+3n[/tex]

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