Dominic joined a local gym that charges a one-time fee to sign up and a recurring monthly fee. The table below shows the total amount that Dominic had paid after 4, 7, 10, and 12 months.

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The function that represents the amount paid after t months is [tex]f(t) = 150 + 50t[/tex]

From the complete question, we have the following highlights

  • Sign up fee: $150
  • Monthly Rate: $50

Let the number of months be t.

So, the function that represents the amount paid after t months is:

f(t) = Sign up fee + Monthly Rate * t

This gives

[tex]f(t) = 150 + 50 \times t[/tex]

Evaluate the product

[tex]f(t) = 150 + 50t[/tex]

Hence, the function that represents the amount paid after t months is [tex]f(t) = 150 + 50t[/tex]

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