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Barnaby’s grandfather is always complaining that back when he was a teenager, he used to be able to buy his girlfriend dinner for only .

  1. If that same dinner that Barnaby’s grandfather purchased for sixty years ago now costs , and the price has increased exponentially, write an equation that will give you the costs at different times.

    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 to write and solve a system of equations.

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

    Let in your equation from part (a).