Question
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?
Answers
GPT 3.5
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.
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.