Question

An initial population of 295 quail increases at an annual rate of 7%. Write an exponential function to model the quail population. What will the approximate population be after 2 years?

Answer 1

the growth rate is 7% = 0.07 so try

\[y = 295(1.07)^{t}\]

where t is years and y is the population

Answer 2

So just simplify 295=(1.07)^2?

Answer 3

sort of. it's y = 295(1.07)^2

Answer 4

solve for y

Answer 5

generally speaking for these types of problems (growth rates)

\[y = a(1 + r)^{t}\]

is the formula you use. a is the initial population, and r is the growth rate

Answer 6

I got 336.7455. Am I correct?

Answer 7

yes

Answer 8

just round it because the question asks for an approximate. unless its the zombie quail apocalypse where .7455 quails are running around!