Question

The population of a school is 800 students and is increasing at a rate of 2% per year. Use an exponential function to find the population of the school after 9 years. ASAP

Answer 1

974 students

Explanation:

P(t) = P' * (1 + r)^t [FORMULA]

where:

P' is the initial population

r is the annual growth rate (as a decimal)

t is the time (in years)

In this case, P' = 800, r = 0.02, and t = 9. Substituting these values into the formula, we get:

P(9) = 800 * (1 + 0.02)^9

=> 800 * 1.02^9

=> 800 * 1.218767

=> 974.2136 (rounded to 4 decimal places)

Therefore, the population of the school after 9 years is approximately 974 students.