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

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:

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

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step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b