Question

MAY I PLEASE HAVE HELP! I DONT UNDERSTAND!

Answer 1

The population of the town in 2010 is 3476.

Explanation:

The variable, t, is "the number of years after 2010." For example, if t = 6, then that means 6 years after 2010. That would be 2016.

Here, t = 0. t=0 means zero years after 2010. That IS 2010. If t=0, then the population is 3476. 3476 is the population of the town in 2010.

Remember, anything to the zero power is 1.

Answer 2

a. The population of the town in 2010 is 3476.

Explanation:

This is an expontential model showing the growth or decay of something (in this case, the town's population).

If t is the number of years after 2010, then we can test the model by substituting values of t into the model.

In 2010 (t = 0), population = 3476 * 0.97^0 = 3476

In 2011 (t = 1), population = 3476 * 0.97^1 = 3371.72 (round to 3371 or 3372 as you can't have half a person).

In 2012 (t = 2), population = 3476 * 0.97^2 = 3270.5684 (round to 3270).

Therefore, the model shows us that the population slightly decreases each year after 2010, and 3476 will have to be the population in 2010.