Question

Since 201020102010, the town of Fall River has been experiencing a growth in population. The relationship between the elapsed time, ttt, in years, since 201020102010 and the town's population, P(t)P(t)P, (, t, ), is modeled by the following function. P(t)=36,800⋅2t25 According to the model, what will the population of Fall River be in 202020202020?

Answer 1

Answer:

48,558

Step-by-step explanation:

The function which models the relationship between the elapsed time, t in years, since 2010 and the town's population, P(t), is given as:

$P(t)=36800\cdot2^{^\dfrac{t}{25}}$

Now, 2020-2010=10 Years

Therefore we are required to calculate the population of the town 10 years after.

To do this, we simply substitute t=10 in the function.

$P(10)=36800\cdot2^{^\dfrac{10}{25}}}\\=48557.9\\\approx 48558$

According to the model, the population in Fall River will be 48,558 in the Year 2020.