To predict the average number of people attending local baseball games in 2024, we need to use the formula:
A = P(1 + r)^n
where:
A = the predicted average attendance in 2024
P = the current average attendance (in 2020)
r = the annual growth rate (as a decimal)
n = the number of years of growth (from 2020 to 2024)
Given that the annual growth rate is 10% and the number of years of growth is 4 (from 2020 to 2024), we have:
r = 0.10
n = 4
Substituting these values and the current average attendance of 100 people into the formula, we get:
A = 100(1 + 0.10)^4
A = 100(1.10)^4
A = 100(1.4641)
A = 146.41
Therefore, the predicted average number of people attending local baseball games in 2024 is approximately 146 (rounded to the nearest whole number).