Question

The local museum had 10,000 visitors in 1995.

The number of visitors has increased by 5% each year since 1995.
7
Enter a function m(x) to represent the number of visitors to the museum x years after 1995.

Answer 1

Explanation:

Vbvvbnn. N m

Answer 2

The number of visitors to the museum is; m(x) = 10,000 ×
`e^(0.05\cdot x)`

The steps by which the function representing the number of visitors to the museum can be found is presented as follows;

The number of visitors the museum had in 1995 = 10,000

The rate at which the number of visitors increased each year since 1995 = 5%

The function for population growth can be presented as follows;

m(x) = P₀ ×
`e^(r\cdot x)`

Where;

P₀ = The initial population

r = The percentage growth rate

x = The time in years

Therefore; P₀ = 10,000 in 1995, r = 5%, we get;

The function to represent the number of visitors to the museum is; m(x) = 10,000 ×
`e^(0.05\cdot x)`