The population of a current species of rhinoceros is declining at a rate of 6% each year. There are currently only 82 rhinoceroses remaining. Which of the following exponential functions correctly models the decline?

Answer 1

The correct exponential function that models the decline of the rhinoceros population is:

P(t) = 82 * (0.94)^t

where:
- P(t) is the population of rhinoceroses after t years
- 82 is the initial population of rhinoceroses
- 0.94 is the rate of decline (100% - 6% = 94% = 0.94)
- t is the time in years

This function takes the initial population of 82 rhinoceroses and decreases it by 6% each year.