Question

The number of seniors at Freedmont High School was 241 in 2009. If the number of seniors increases exponentially at a rate of 1.7% per year, how many seniors will be in the class of 2021?

Answer 1

To find the number of seniors in the class of 2021 at Freedmont High School, use the formula for exponential growth and calculate the population at 2021.

Step-by-step explanation:

To find the number of seniors in the class of 2021, we need to calculate the exponential growth of the number of seniors from 2009 to 2021. The formula for exponential growth is: P(t) = P(0) * (1 + r)^t, where P(t) is the population at time t, P(0) is the initial population, r is the growth rate, and t is the number of years. In this case, P(0) = 241, r = 0.017 (1.7% in decimal form), and t = 2021 - 2009 = 12.

Plugging in these values, we get: P(2021) = 241 * (1 + 0.017)^12 = 241 * (1.017)^12 ≈ 273.14

So, approximately 273 seniors will be in the class of 2021.