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Question

1. Write a function f(x) that represent a gym membership cost of $20 per month for x months.


2. Explain how a fee increase of 25% can be represented for the gym membership. Use g(x) for the new function.

Answer 1

1. Write a function f(x) that represent a gym membership cost of $20 per month for x months.

  Remember that total cost = (cost per month)*(number of months)        [months cancel, leaving only cost]

    f(x) = 20x

2. Explain how a fee increase of 25% can be represented for the gym membership. Use g(x) for the new function.

   25% may also be written as (25/100) or 0.25 as needed in the problem.

   To increase $20 by 25%, you have

      $20 + (25/100)($20)

      $20 + (1/4)($20)

      $20 + $5

      $25

            [or you could use (1.25)*20 = 25]

     g(x) = 25x

Answer 2

1.  f(x) = CUMULATIVE cost of gym membership @ $20 per month, for x months.

 

2.  g(x) = CUMULATIVE cost of gym membership @ $25 per month, for x months. $25 = $20 + ¼(20), the latter term representing the 25% increase.