Question

In City Lake, researchers caught, marked, and released 176 bass. Later, they took a sample of 91 bass and found that 13 were marked. Estimate the number of bass in the lake. a)1232 b)254 c)2288 d)254

Answer 1

a) 1232

Explanation:

The ratio of marked samples over the population must be constant, then denote the total number of bass in the lake A, we have:

176/A = 13/91

=> A = 176 x 91/13 = 1232

Hope this helps!

Answer 2

If x is the total number of bass in the lake we can write the following proportion: 176 / x = 13 / 91. 13 / 91 simplifies to 1 / 7 so the proportion becomes 176 / x = 1 / 7. Using the Cross Products Property this becomes x = 1232.