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In a population of 80 foxes, 60 are born and 8 emigrate in a given year. What is the per capita birth rate?1 point0.800.700.850.75

Question

In a population of 80 foxes, 60 are born and 8 emigrate in a given year. What is the per capita birth rate?

1 point
0.80
0.70
0.85
0.75

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Solution

Break Down the Problem

  1. Identify the total number of foxes in the population.
  2. Calculate the number of births.
  3. Determine the per capita birth rate using the formula.

Relevant Concepts

  1. The formula for the per capita birth rate is given by: Per capita birth rate=Number of birthsPopulation size \text{Per capita birth rate} = \frac{\text{Number of births}}{\text{Population size}}

Analysis and Detail

  1. Total population of foxes = 80.
  2. Number of births = 60.
  3. Applying the formula to find the per capita birth rate: Per capita birth rate=6080=0.75 \text{Per capita birth rate} = \frac{60}{80} = 0.75

Verify and Summarize

  1. Confirm the calculation by simplifying 6080\frac{60}{80} which results in 34=0.75\frac{3}{4} = 0.75.
  2. The per capita birth rate is therefore confirmed to be 0.750.75.

Final Answer

The per capita birth rate is 0.75.

This problem has been solved

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