Question

1. A population grows according to an exponential growth model. The initial population is P0=12, and the common ratio is r=1.45
Then:

P1 =
P2 =
Find an explicit formula for Pn. Your formula should involve n.
Pn =   
Use your formula to find P9

P9=

Give all answers accurate to at least one decimal place

2. Assume there is a certain population of fish in a pond whose growth is described by the logistic equation. It is estimated that the carrying capacity for the pond is 1000 fish. Absent constraints, the population would grow by 250% per year.
If the starting population is given by p0=200, then after one breeding season the population of the pond is given by
p1 =   
After two breeding seasons the population of the pond is given by
p2 =   

3. Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2019?

_____________ people

4. A population of beetles are growing according to a linear growth model. The initial population (week 0) is P0=4, and the population after 10 weeks is P10=84

Find an explicit formula for the beetle population after n weeks.
Pn =   

After how many weeks will the beetle population reach 228?
__________ weeks

Answer 1

look at rate at which it grows and then follow