Suppose your community has 4512 students this year. The student population is growing 2.5% each year. Write an equation to model the student population. (y=a*b^x)

y=4512x1.025^x

thanks

what would the exponent x stand for though?

Suppose your community has 3580 people this year. The population is growing 2.5% each year

A) wrote an exponential function to model the population.
B) What will the population be in 3 years?
C) Graph The function and give the domain and range.

To model the student population using the given information, we can use the exponential growth formula:

y = a * b^x

In this case, "y" represents the student population, "x" represents the number of years into the future, "a" represents the initial population, and "b" represents the growth rate.

Since the initial population is given as 4512 students, we can substitute this value into the equation:

y = 4512 * b^x

Now, we need to find the growth rate "b" based on the given information that the student population is growing by 2.5% each year.

To calculate the growth rate, we need to convert the percentage to a decimal by dividing it by 100:

2.5% = 2.5/100 = 0.025

Now, we can rewrite the equation:

y = 4512 * (1 + 0.025)^x

So, the equation that models the student population is:

y = 4512 * (1.025)^x