In 2000, the population of Sheboygan, WI was about 113,000 and was growing at a rate of 0.85% per year. Use an exponential function to predict the population in 2023 to the nearest whole number.
A)147,338
B)1,577,713,700
C)130,785
D)137,285

Question

Quizplus · Accepted Answer

The correct answer is D.The population in 2023 can be predicted using the exponential function:P(t) = P(0) * (1 + r)^twhere:P(t) is the population at time tP(0) is the initial populationr is the annual growth ratet is the number of yearsIn this case, P(0) = 113,000, r = 0.0085, and t = 23 (since 2023 - 2000 = 23).Plugging these values into the equation, we get:P(23) = 113,000 * (1 + 0.0085)^23P(23) = 113,000 * 1.215P(23) = 137,285Therefore, the population of Sheboygan, WI in 2023 is predicted to be 137,285 to the nearest whole number.

In 2000, the Population of Sheboygan, WI Was About 113,000