Initially a city has a population of 104 thousand. Over the first 10 years the population grows exponentially at a rate of 11% per year. Over the next 10 years the population grows linearly at a rate of 33 thousand individuals per year.
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A: Find a formula that gives the population N, in thousands, over the first 10 years.
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B: Find a formula that describes the population from year 10 to year 20. Be careful: Year 10 corresponds to , not to
.
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C: Find a formula for a piecewise-defined function that describes the population over the 20-year period.
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D: Make a graph of the population over the 20-year period.
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What will be an ideal response?
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B:
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C: for
, and
, for
.
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D:
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