After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year an

Question

3 years ago

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After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year an

d an increase of 8% per year, the population is 34,560. Which 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.)

Mathematics

2 answers:

elixir [45] · Answer 1 · 2022-06-22T22:27:08+03:00

Answer:

The equation used to predict the number of people living in the town after x years is y = 32,000 (1.08)x

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Initial population: 32,000

Growth per year: 8%

Years: x

So, to obtain "y" (the number of people living in the town after x years), we have to multiply the initial population by 1+ 0.08 (the growth rate is 8%/100=0.08 and the original value) and the number of years (x).

Mathematically speaking:

y = 32,000 (1+0.08) x

y= 32,000 (1.08) x

The equation used to predict the number of people living in the town after x years is y = 32,000 (1.08)x