the growth in population of a small town since 1996 is given by the function P(n)=1250(a.03)^n

c) determine the poulation in the year 2007

To find the population in the year 2007, we need to substitute the value of n, representing the number of years since 1996, into the given function.

First, let's determine the value of n for the year 2007. Since the base year is 1996 and we want to find the population in the year 2007, we need to find the number of years between 1996 and 2007.

The year 2007 is 11 years after 1996. Therefore, n = 11.

Now, let's substitute the value of n into the function P(n).

P(n) = 1250(0.03)^n

P(11) = 1250(0.03)^11

Calculating this expression, we find:

P(11) = 1250 * (0.03)^11
β‰ˆ 1250 * (0.0001166)
β‰ˆ 0.1458

Therefore, the population in the year 2007 is approximately 0.1458, which could be interpreted as 146 people (assuming the population is measured in thousands).