Since 2010, the town of Fall River has been experiencing a growth in population. The relationship between the elapsed time, t, in years, since 2010 and the town's population, P(t left parenthesis, t, right parenthesis, is modeled by the following function. P(t)=36,800⋅2t25 According to the model, what will the population of Fall River be in 2020? Round your answer, if necessary, to the nearest whole number.

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Answer:

48,558

Step-by-step explanation:

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The population of Fall River be in 2020 is 48,588.

Given that,

  • The relationship between the elapsed time, t, in years, since 2010 and the town's population.
  • The function is [tex]36,800 .2^{\frac{2}{25} }[/tex].

Based on the above information, the calculation is as follows:

[tex]= 36,800 .2^{\frac{10}{25} }[/tex]

= 48557.9

= 48558

Here 10 years comes from

= 2020 - 2010

= 10

Therefore we can conclude that the population of Fall River be in 2020 is 48,588.

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