Solve.
-An endangered species of fish has a population that is decreasing exponentially $\left( A = A _ { 0 } e ^ { k t } \right)$. The population 6 years ago was 1500 . Today, only 900 of the fish are alive. Once the population drops below 100 , the situation will be irreversible. When will this happen, according to the model? (Round to the nearest whole year.)
A) 26 years from today
B) 27 years from today
C) 25 years from today
D) 28 years from today

Question

Quizplus · Accepted Answer

Using the exponential decay formula, solve for $ t $ when $ A = 100 $. First, find $ k $ using $ A_0 = 1500 $, $ A = 900 $, and $ t = 6 $. Then, solve for $ t $ when $ A = 100 $. The result is approximately 26 years from today.

Solve -An Endangered Species of Fish Has a Population That (A=A0ekt)\left( A = A _ { 0 } e ^ { k t } \right)(A=A0​ekt)

Solve
-An Endangered Species of Fish Has a Population That $\left( A = A _ { 0 } e ^ { k t } \right)$