recently, frogs have been disappearing from the wild due to a contagious fungus. to monitor the current…

recently, frogs have been disappearing from the wild due to a contagious fungus. to monitor the current population in a certain region, ruth collects 85 frogs, marks them, and releases them. later, she collects 500 frogs and finds that 17 of them are marked. to the nearest whole number, what is the best estimate for the frog population?

recently, frogs have been disappearing from the wild due to a contagious fungus. to monitor the current population in a certain region, ruth collects 85 frogs, marks them, and releases them. later, she collects 500 frogs and finds that 17 of them are marked. to the nearest whole number, what is the best estimate for the frog population?

Answer

Explanation:

Step1: Set up proportion

Let $x$ be the total frog population. The proportion is $\frac{85}{x}=\frac{17}{500}$.

Step2: Cross - multiply

$17x = 85\times500$.

Step3: Solve for $x$

$x=\frac{85\times500}{17}= 2500$.

Answer:

2500