A Wisconsin lake is stocked with 10,500 bluegill. The population is expected to grow exponentially according to the model $P = P _ { 0 } 2 ^ { t / 2 }$. How many bluegill will be in the lake in 6 years?
A) $\quad 42,000$ bluegill
B) $\quad 13,229$ bluegill
C) $\quad 63,000$ bluegill
D) $\quad 84,000$ bluegill
E) $\quad 126,000$ bluegill

Question

Quizplus · Accepted Answer

The population doubles every 2 years. In 6 years, it will double 3 times: $10,500 \times 2^3 = 10,500 \times 8 = 84,000$.

A Wisconsin Lake Is Stocked with 10,500 Bluegill P=P02t/2P = P _ { 0 } 2 ^ { t / 2 }P=P0​2t/2

A Wisconsin Lake Is Stocked with 10,500 Bluegill $P = P _ { 0 } 2 ^ { t / 2 }$