brittany is an avid birdwatcher and is trying to estimate the number of doves living in her region. she…

brittany is an avid birdwatcher and is trying to estimate the number of doves living in her region. she traps 29 doves and tags them. later, she traps 420 doves, 14 of which are tagged. to the nearest whole number, what is the best estimate for the dove population?

brittany is an avid birdwatcher and is trying to estimate the number of doves living in her region. she traps 29 doves and tags them. later, she traps 420 doves, 14 of which are tagged. to the nearest whole number, what is the best estimate for the dove population?

Answer

Answer:

870

Explanation:

Step1: Set up proportion

Let $x$ be the total dove - population. The proportion is $\frac{29}{x}=\frac{14}{420}$.

Step2: Cross - multiply

$14x = 29\times420$.

Step3: Calculate right - hand side

$29\times420=12180$. So, $14x = 12180$.

Step4: Solve for $x$

$x=\frac{12180}{14}=870$.