Question

the population of a city has been increasing at a rate of 1.2% per year. The population was 125,000 in the year 2000.

a)Find the population in 2012. round answer to a whole number of people.

b)Estimate the year when the population will be 200 thousand.

Answer 1

for a) use the formula for population growth...
\[P =P _{o}e ^{rt}\]

Answer 2

\[P _{o} = initialpopulation\]

Answer 3

\[r = rate\]

Answer 4

t = time

Answer 5

P = final population

Answer 6

so your equation should look like...
\[P=125000e^(0.012)(12)\]

Answer 7

thank you! thats what i got for A. Im just having a hard time with B

Answer 8

plug in 200 000 for P

Answer 9

and solve for t

Answer 10

so 200000 = 125000e^((0.012)(t))

Answer 11

then add t to 2000

Answer 12

you should get something like 2039

Answer 13

since \[t \approx 39\]