exponential decay 14.2

Question

At the beginning of the year​ 1995, the population of Townsville was 3154. By the beginning of the year 2010​, the population had reached 4684. Assume that the population is growing​ exponentially, answer the following.

​A) Estimate the population at the beginning of the year 2019.ROUND TO THE NEAREST PERSON.

The population at the beginning of 2019 will be about ___.

​B) How long​ (from the beginning of​ 1995) will it take for the population to reach​ 9000?  ROUND TO 2 DECIMAL PLACES.

The population will reach 9000 about ___years after the beginning of 1995.

​

C) In what year​ will/did the population reach​ 9000?

The population will​ (or did) hit 9000 in the year ___

Answer 1

4684 = 3154e^15k

Determine value of k

A) P(14) = 3154e^14k, using value of k from above

B) 9000 = 3154e^kt, using value of k from above and solving for t

C) 1995 + t, using of t from above