Question

A town has 1800 people initially. In each of the cases below, find the formula for the population of the town, P, in terms of the number of years, t.

Answer 1

The town grows by 50 people a year. Answer: P(t)=

The town shrinks by 80 people a year. Answer: P(t)=

Answer 2

I know that when the town grows at an annual rate of 3% a year the answer is P(t)= 1800(1.03)^t

Answer 3

And I also know that when the town shrinks at an annual rate of 5 percent a year the answer is P(t)= 1800(0.95)^t

Answer 4

@misty1212 Any chance you can help?

Answer 5

Would the town growing by 50 people a year be P(t) = 1800 + 50t because it's
50 people/year. And then shrinking would just be P(t) = 1800 - 80t because when it's shrinking it's declining/subtracting and it's 80 people/year so 80 times "t".

Answer 6

HI!!

Answer 7

it is what @calculusxy wrote, not exponential because they tell you 50 Per Year

Answer 8

Yep that's correct! Thanks @calculusxy
For some reason when I entered in my answer as 1800+(50)^t it was wrong but 1800+50t was correct!

Answer 9

You're welcome :)