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31. gym membership the cost of a gym membership is $75 plus $30 per mon…

Question

  1. gym membership the cost of a gym membership is $75 plus $30 per month. the function that represents this relation is ( f(x) = 30x + 75 ), where ( x ) is the number of months and ( f(x) ) is the cost. find and interpret ( f(12) ).

Explanation:

Step1: Substitute \(x = 12\) into the function

Given \(f(x)=30x + 75\), substitute \(x = 12\)
\(f(12)=30\times12+75\)

Step2: Calculate the value

First, calculate \(30\times12 = 360\). Then \(360+75=435\)

Answer:

\(f(12) = 435\). This means that the cost of a gym membership for 12 months is \(\$435\).