Question

A scientist estimates that there are 2.2×107 walleye in Lake Erie. The total ‘volume of Lake Erie is 4.83×1011 cubic meters. A pool with a volume of 200,000 cubic meter is built to model the lake. How many walleye should be put into the pool to model the conditions in the lake?

Answer 1

9  walleye should be put into the pool to model the conditions in the lake .

Step-by-step explanation:

Here we have , A scientist estimates that there are 2.2×107 walleye in Lake Erie. The total ‘volume of Lake Erie is 4.83×1011 cubic meters. A pool with a volume of 200,000 cubic meter is built to model the lake. We need to find  How many walleye should be put into the pool to model the conditions in the lake . Let's find out:

In 4.83×1011 cubic meters , there are  2.2×107 walleye . So , in 1 cubic meters :

⇒ $\frac{2.2(10^7)}{4.83(10^{11})}$

According to question we need to find , Number of walleye should be put into the pool of volume 200,000 cubic meter :

⇒  $\frac{2.2(10^7)}{4.83(10^{11})}(200000)$

⇒  $\frac{2.2(2)(10^{(7+5)})}{4.83(10^{11})}$

⇒  $\frac{4.4)(10^{(12-11)})}{4.83}$

⇒  $0.91(10)$

⇒  $9$

Therefore , 9  walleye should be put into the pool to model the conditions in the lake .