Question

Help with exponential growth problems

Answer 1

The population P of a city is modeled by the exponential growth model, P(t) = 12,500e^0.03t, where t represents the amount of years since 1997. According to this model, what is the population of this city in 1997?

Answer 2

The initial time is the year 1997, which we'd refer to with \(t=0\). Plug in \(t=0\).

Answer 3

so P(0)=12,500e^0.03(0)

Answer 4

yes

Answer 5

and e^0 =1

Answer 6

so P(0)=12500(1)

Answer 7

which is 12500

Answer 8

so what about 2025 so we would fill in 28 for t?

Answer 9

yes t= 2025-1997
we will need a calculator for this one.

Answer 10

P(28)=12500e^0.03(28)

Answer 11

alright

Answer 12

so P(28)=12500e^.84

Answer 13

it also says round to the nearest integer

Answer 14

p(t)=12500(2.31)

Answer 15

I would keep a lot more decimals, and only round at the end

Answer 16

kk

Answer 17

P(28)=28954.5873

Answer 18

yes. now you can round to the nearest integer.

Answer 19

28955

Answer 20

yes