Question

Since 2010 the otwn of fall river has been experiencing a growth in population. Tthe relationship between the elasped time, t in years since 2010 and the towns population. P(t) modeled by the following function.P(t)=36,800 * (2^ (t/25))according to the model what will the population of fall river be in 2020?round your answer if necessary to the nearest whole number.

Answer 1

From the present question we have the following function:

$P(t)=36,800\times2^{\frac{t}{25}}$

In 2020, we know that it has passed 10 years since 2010. For this reason, it will only take us to substitute t = 10 and perform the needed calculation, as follows:

$\begin{gathered} P(t)=36,800\times2^{\frac{10}{25}}=36,800\times2^{0.4}\cong36,800\times1.31950791 \\ P(t)\cong48,557.89 \end{gathered}$

From the solution presented, we are able to conclude that the answer is the

population of:

$48,558$