The population of a town grows exponentially. after 1 year, the population is 34,560. after 2 years, the population is 37,325. provide an equation that 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.)

Equation will be

Step-by-step explanation:

Since population of a town grows exponentially so the function to represent the population growth will be

n = number of years

where = population after n years

= population in the base year or population at 0 year

r = common ratio or the growth with which population is increasing year by year

Now It is given in the question after 1 year, the population is 34560

So the expression will be ------(1)

again question states that after 2 years, the population is 37325

The expression becomes ------(2)

Now we divide equation 2 from equation 1

r = 1.08

Now we put the value of "r" in equation 1 to calculate the value of

If y be the number of people living in the town after x years then the function formed will be

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