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Math Help - exponents word problem

  1. #1
    Member Veronica1999's Avatar
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    exponents word problem

    Are my answers correct?



    Let R(t) = 55(1.02)t (1.02 to the t power not times t) describe the size of the rabbit population in the PEA woods t days after the first of June. Use your calculator to make a graph of this function inside the window −50 ≤ t ≤ 100, 0 ≤ R(t) ≤ 500. (You will need to work with the variables x and y instead of t and R, of course.) What is the y-intercept of the graph, and what does it signify? Does your calculator show an x-intercept? Would it show an x-intercept if the window were enlarged?

    The y intercept is 55 and it stands for the rabbit population on the 1st of June.
    This graph will never have an x intercept.


    Choose a point on the graph that is very close to the y-intercept, then use these two points to estimate the rate (in rabbits per day) at which the population
    is growing on 1 June. In the same way, estimate the rate at which the population is
    growing on 1 September. Explain how your two answers are both consistent with the
    given 2-percent growth rate.



    For the first of June I got a rate of 1 and for the 1 September a rate of 7.
    I don't see how these answers are consistent with the 2-percent growth rate.





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  2. #2
    Master Of Puppets
    pickslides's Avatar
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    Re: exponents word problem

    Notice that multiplying by 1.02 is the same as growing by 2%.
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