The size of a rat population at the bay area of a certain city grows at a rate of 8% monthly.

Question

The size of a rat population at the bay area of a certain city grows at a rate of % monthly. If there are  rats currently, find how many rats (rounded to the nearest whole) should be expected in  months. Use , and let t be  months

Answer 1

Just set t to 24 and plug that into the equation.

y= 230(2.7)^1.92 etc. using your calculator

I get 1548.

another way would be to take the log of both sides

log(y) = log(230) + 0.08(24)log(2.7)

y = 10^log(y) ≈ 1548