Question

The following table gives projections of the

Answer 1

The function that models the growth of the population is P = 276.6e^0.009t

What is the function?

We can see that the table shows the increase in population over time. We know that population growth is an example of exponential function. We have to apply the formula of exponential function.

Let us now obtain the function that could show the population at each time;

Given that;

Po = initial population

P = population at time t

r = rate of population growth

P = Poe^rt

P = 305.9

r = ?

t = 10

Po = 276.6

Substituting values;

305.9 = 276.6e^10r

305.9/276.6 = e^10r
1.1 = e^10r

ln 1.1 = 10r

r = ln1.1/10

r = 0.009

Thus the function is;

P = 276.6e^0.009t

Learn more about population growth:brainly.com/question/18415071

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