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Answer :
Final answer:
To find the exponential function representing the population growth, we use the formula f(t) = y0 * b^t, where t is the number of years after 2000 and y0 is the initial population in 2000. The population growth from 2000 to 2080 is represented by the exponential function f(t) = 38.1 * (55.5/38.1)^t.
Explanation:
To find an exponential function that represents the population growth from 2000 to 2080, we can use the formula f(t) = y0 * b^t. Here, t represents the number of years after 2000, y0 is the initial population in 2000, and b is the growth factor. In this case, the initial population is 38.1 million in 2000 (t=0), and the population in 2080 (t=2080-2000=80) is 55.5 million. Plugging these values into the formula, we get f(t) = 38.1 * (55.5/38.1)^t. This gives us the exponential function that represents the population growth.Learn more about Exponential growth here:
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