Consider the following data.

| Cause of change | 2011 | 2012 |
|---|---|---|
| Deaths | 2 | 1 |
| Births | 5 | 4 |
| Immigration | 6 | 1 |
| Emigration | 8 | 3 |

Which would have to happen to keep the population growth of cheetahs in 2013 the same?

A. 4 deaths, 7 births, 2 immigration, 6 emigration
B. 3 deaths, 6 births, 5 immigration, 7 emigration
C. 5 deaths, 2 births, 8 immigration, 3 emigration
D. 1 deaths, 5 births, 3 immigration, 7 emigration

To keep the population growth of cheetahs in 2013 the same as in 2012, the correct scenario is Option B: 3 deaths, 6 births, 5 immigration, and 7 emigration, which results in a population growth of 1. This matches the growth observed in 2012.
;

Answered by Anonymous | 2025-07-04

Calculate the population growth in 2012: 4 + 1 − 1 − 3 = 1 .
Test each option for 2013 by calculating B i r t h s + I mmi g r a t i o n − De a t h s − E mi g r a t i o n .
Option 1: 7 + 2 − 4 − 6 = − 1
Option 2: 6 + 5 − 3 − 7 = 1
Option 3: 2 + 8 − 5 − 3 = 2
Option 4: 5 + 3 − 1 − 7 = 0
Only Option 2 matches the population growth of 1, so the answer is 3 deaths, 6 births, 5 immigration, 7 emigration ​ .

Explanation

Calculate Population Growth in 2012 First, we need to determine the population growth of cheetahs in 2012. The population growth is calculated by adding the number of births and immigrations, and then subtracting the number of deaths and emigrations. From the table, in 2012, there were 4 births, 1 immigration, 1 death, and 3 emigrations.

Determine Population Growth in 2012 The population growth in 2012 is calculated as follows: P o p u l a t i o n G ro wt h = B i r t h s + I mmi g r a t i o n − De a t h s − E mi g r a t i o n P o p u l a t i o n G ro wt h = 4 + 1 − 1 − 3 = 1 So, the population growth in 2012 was 1.

Test Each Option for 2013 Now, we need to find the rates for 2013 that would result in the same population growth as in 2012, which is 1. We will test each of the given options using the same formula: P o p u l a t i o n G ro wt h = B i r t h s + I mmi g r a t i o n − De a t h s − E mi g r a t i o n

Calculate Population Growth for Each Option Option 1: 4 deaths, 7 births, 2 immigration, 6 emigration P o p u l a t i o n G ro wt h = 7 + 2 − 4 − 6 = − 1 This option does not result in a population growth of 1.


Option 2: 3 deaths, 6 births, 5 immigration, 7 emigration P o p u l a t i o n G ro wt h = 6 + 5 − 3 − 7 = 1 This option results in a population growth of 1.
Option 3: 5 deaths, 2 births, 8 immigration, 3 emigration P o p u l a t i o n G ro wt h = 2 + 8 − 5 − 3 = 2 This option does not result in a population growth of 1.
Option 4: 1 deaths, 5 births, 3 immigration, 7 emigration P o p u l a t i o n G ro wt h = 5 + 3 − 1 − 7 = 0 This option does not result in a population growth of 1.

Final Answer Only Option 2 results in a population growth of 1, which is the same as in 2012. Therefore, the rates for 2013 that would keep the population growth the same are 3 deaths, 6 births, 5 immigration, and 7 emigration.

State the Answer Therefore, the answer is: 3 deaths, 6 births, 5 immigration, 7 emigration


Examples
Understanding population dynamics is crucial in wildlife conservation. By tracking births, deaths, immigration, and emigration, we can model population growth and make informed decisions about habitat management and conservation efforts. For example, if a cheetah population is declining, conservationists might focus on increasing birth rates or reducing deaths through anti-poaching measures. This mathematical approach helps in predicting future population sizes and implementing effective conservation strategies.

Answered by GinnyAnswer | 2025-07-04