The population of a town grows exponentially. After 1 year, the population is 34,560. After 2 years, the population is 37,325. W

Question

2 years ago

9

The population of a town grows exponentially. After 1 year, the population is 34,560. After 2 years, the population is 37,325. W

hich equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.) y = 32,000(1.08)x y = 32,000(0.08)x y = 31,795(1.08)x y = 31,795(0.08)x

Mathematics

2 answers:

nalin [4] · Answer 1 · 2022-08-13T17:09:58+03:00

nalin [4]2 years ago

8 0

Answer:

The correct answer is option <u><em>A) y = 32,000(1.08)x</em></u>

I just did the quiz and got it right.

Hope this helps and have a gr8 day <3

Vladimir [108] · Answer 2 · 2022-08-13T15:26:28+03:00

Exponential growth has the form:

F=Ir^t, F=final amount, I=initial amount, r=rate, t=time.

First let's solve for the rate, r, using the points provided...

37325/34560=(Ir^2)/(Ir^1)

r≈1.08

Now find the initial amount...

34560=I(1.08)^1

I=32000 so now we have the entire equation, using x and y...

y=32000(1.08)^x