Question

# The population of Figmentia was 19685 in the 2020 census. The future population of the town can be modeled by p$t$=19685e^0.0116^t , where t is the number of years since 2020. Use the function to predict the population in 2035. Round to the nearest whole number

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## Answer to a math question The population of Figmentia was 19685 in the 2020 census. The future population of the town can be modeled by p$t$=19685e^0.0116^t , where t is the number of years since 2020. Use the function to predict the population in 2035. Round to the nearest whole number

Andrea
4.5
1. Calculate the number of years from 2020 to 2035:
t = 2035 - 2020 = 15

2. Substitute t = 15 into the population model:
p$15$ = 19685e^{0.0116 \cdot 15}

3. Compute the exponent:
0.0116 \times 15 = 0.174

4. Calculate e^{0.174} :
e^{0.174} \approx 1.19023

5. Multiply by the initial population:
p$15$ = 19685 \times 1.19023 \approx 23457.02955

6. Round to the nearest whole number:
\text{Rounded value of } p$15$ \approx 23457

So, the population in 2035 is approximately 23457.

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