Question

The local museum had 20,000 visitors in 1990. The number of visitors has decreased by 3% each year since 1990. Enter a function m(x) to represent the number of visitors to the museum x year after 1990.

Answer 1

m(x) = 20000(0.97)^x

Explanation:

Given that :

Initial population, population in 1990, P = 20,000

Rate, r = 3% = 0.03

Number of visitors to the museum x years after 1990

Since population decreases, Decay formula

m(x) = Initial population * (1 - r)^x

m(x) = 20000(1 - 0.03)^x

m(x) = 20000(0.97)^x