In the year 2000, the estimated population of Canadian geese in a city was 750. The Canadian geese population is expected to grow at a rate of 12% each year. In what year will the population exceed 15,000?

Question

a1234 · Answer

You have 750 (1.12)^x > 15,000.

_excusemyfrench._ · Answer

okay so 15000=750(1.12)^x

a1234 · Answer

They are asking for "exceed," so you should use the greater sign. Yes, divide by 750.

_excusemyfrench._ · Answer

srry i meant to type <. I got 20 after dividing

a1234 · Answer

log1.12(1.12^x) = log1.12(20)

xlog1.12(1.12) = log1.12(20)

x = log1.12(20)

log20/log1.12 is approximately 26.43. That's how long it should take.

_excusemyfrench._ · Answer

so the year would be 2026?

a1234 · Answer

Yes

_excusemyfrench._ · Answer

Thankss