Question

The Booneville History Museum had 25,000 visitors in 1980. The number of visitors has decreased by 2.5% each

year since 1980 Wien

year since 1980. Write a function (t) to represent the number of visitors to the Booneville History Museumt

years after 1980.

A-v(t) = 25000(0.025)

B -v(t) = 25000(0.25)

C-v(t) = 25000(0.975)

D-v(t) = 25000(1.025)

Answer 1

To represent the number of visitors to the Booneville History Museum t years after 1980, the correct function is D-v(t) = 25000(1.025).

Step-by-step explanation:

To represent the number of visitors to the Booneville History Museum t years after 1980, we can use the formula v(t) = 25000(1 - 0.025)^t. This is because the number of visitors decreases by 2.5% each year. The term (1 - 0.025)^t represents the decay factor where t is the number of years after 1980.

Therefore, the correct function to represent the number of visitors to the Booneville History Museum t years after 1980 is D-v(t) = 25000(1.025).

Answer 2

Option c: -v(t) = 25000(0.975)

Step-by-step explanation:

Kindly check the attached file for explanation