Question

recently, frogs have been disappearing from the wild due to a contagious fungus. to monitor the current population in a certain region, alan collects 28 frogs, marks them, and releases them. later, he collects 110 frogs and finds that 11 of them are marked. to the nearest whole number, what is the best estimate for the frog population?

Explanation:

Step1: Set up proportion

Let \( N \) be the total population. The proportion of marked frogs in the first sample should equal the proportion of marked frogs in the second sample. So, \(\frac{28}{N}=\frac{11}{110}\)

Step2: Solve for \( N \)

Cross - multiply: \( 11N = 28\times110 \)
Calculate \( 28\times110 = 3080 \)
Then \( N=\frac{3080}{11}=280 \)

Answer:

280