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Math Help - Exponential functions

  1. #1
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    Exponential functions

    Hailey has begun a fitness program. The first week she ran 1 mile every day. Each week she increases the amount that she runs each day by 20%. In week 10, how many miles does she run each day? Give your answer to the nearest mile.

    My solution:
    A=P(1+r)^n
    =1(1.2)^9
    =5
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  2. #2
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    Re: Exponential functions

    Yes, that is correct. "To the nearest mile" isn't all that accurate but if that was what you were told to do ....
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  3. #3
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    Re: Exponential functions

    How come the answer key to the amsco textbook says it is 6 miles?
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  4. #4
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    Re: Exponential functions

    Quote Originally Posted by victorwen28 View Post
    How come the answer key to the amsco textbook says it is 6 miles?
    because the individual who made the answer key erroneously calculated 1.2^{10} , which is the number of miles run each day in week 11.
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  5. #5
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    Re: Exponential functions

    So it is a guaranteed 5 miles?
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