Apopulation, p(t) (in millions) in year t, increases exponentially. suppose p(9)=16 and p(18)=24. a) find a formula for the population in the form p(t)=abt. enter the values you found for a and b in your formula in the blanks below. round your values to 4 decimal places.

Step-by-step explanation:

Given

Population changes exponentially

------1

-----2

divide 1 & 2 we get

Substitute in 1 we get

Thus

Step-by-step explanation:

Arithmetic sequences concepts:

The general rule of an arithmetic sequence is the following:

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

And also:

In this question:

Finding the common ratio:

Finding the first term:

General rule: