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UNO [17]
3 years ago
5

Tanapcalcbr9 5.6.005. - the world population at the beginning of 1990 was 5.3 billion. assume that the population continues to g

row at the rate of approximately 2%/year and find the function q(t) that expresses the world population (in billions) as a function of time t (in years), with t = 0 corresponding to the beginning of 1990. (round your answers to two decimal places.)
Mathematics
1 answer:
Dominik [7]3 years ago
3 0

An increase of 2% per year means the population is multiplied by 1.02 each year. Your exponential function with a base of 1.02 and a scale factor of 5.3 (billion) will look like this:

... q(t) = 5.3×1.02^t

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Let's define the following variables first.

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From the question, we can say that or form the following equations:

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The first equation can also be written as A = 790 - C. We can use this equation and replace "A" in the second equation.

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From that, we can solve "C" by solving the equation formed above.

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\begin{gathered} A=790-C \\ A=790-380 \\ A=410 \end{gathered}

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