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Barnaby’s grandfather is always complaining that years ago, he could buy his girlfriend dinner for only . Now that same dinner costs .

  1. Assuming the price has increased exponentially and that same dinner never cost less than , write the equation of a function that models the cost in relationship to the number of years from now.

    Begin by defining variables.
    Let the number of years
    Let the cost of a dinner
    You need to write an equation of the form .

    Use the points and . The horizontal asymptote (or vertical shift in this case) is (or ).

  2. How much would you expect the same dinner to cost years from now?

    Let in your equation from part (a).

    Answers vary depending on precision used, about