
William W. answered 09/05/21
Math and science made easy - learn from a retired engineer
At t = 0 (the start), to find the number of animals, plug in zero for t. You'll get 1150 animals.
Since t is in years, to find the number of animals after 1 month (since there are 12 months in a year) let t = 1/12. Plug that value in and you get the number of animals as 931.5 (yes, I know there can't be half an animal but, bear with me).
The number of animals that were lost is 1150 - 931.5 or 218.5 animals. To determine what percent that is, divide by the total original number (1150) so 218.5/1150 = 0.19 or 19%
If you notice that 1 - 0,81 = 0,19 so the monthly decline percentage is actually built right into the equation. That's because the exponent is the number of months (plugging in 1 for "1 year" results in an exponent of 12, i.e., 12 months).