The town of Springfield, USA has a population of 9900 people. The population is growing at a rate of 2.3% each year. Which expression gives

Question

The town of Springfield, USA has a population of 9900 people. The population is growing at a rate of 2.3% each year. Which expression gives the town’s population 5 years from now?

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Raelynn 4 weeks 2021-09-21T08:44:09+00:00 1 Answer 0

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    2021-09-21T08:45:09+00:00

    Answer:

    The expression that represents the town’s population after 5 years.

    P_f=9900(1.023)^5

    Step-by-step explanation:

    Given:

    Current population of Springfield, USA = 9,900

    Rate of growth per year = 2.3%

    To find the expression that represents the town’s population after 5 years.

    Solution:

    The exponential growth expression is given as:

    P_f=P_0(1+\frac{r}{100})^t

    where :

    P_f\rightarrow represents the final population after t years

    P_o\rightarrow represents the initial population

    r\rightarrow represents the rate of growth in percent

    Plugging in  the known values.

    P_f=9900(1+\frac{2.3}{100})^5

    Simplifying.

    P_f=9900(1+0.023)^5

    P_f=9900(1.023)^5

    Thus, the above expression represents the population after 5 years.

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