Complete the following table
Growth rate is k, Doubling time is T
Population Growth Rate Doubling time
Country A 1.3% yr ? years
Country B ? yr 33 years
(Round doubling time to the nearest whole number and round growth rate to the nearest tenth.)
Thank you!
1.013^t=2
t*log 1.013=log2
t= log2/log1.013
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ln(2)/ln(1.013)=
53.7 years
b.
(1.+?)^33=2
33ln(1+?)=ln2
ln(1+?)=ln2 /33
?=.022 or 2.2percent
To complete the table, we need to calculate the missing values for Doubling time.
For Country A, where the Growth Rate is given as 1.3% per year, we can calculate the Doubling time using the formula:
Doubling time = ln(2) / (0.013 * 100)
Doubling time = 0.693 / 1.3
Doubling time ≈ 0.533 years
Rounding it to the nearest whole number, the Doubling time for Country A is approximately 1 year.
For Country B, where the Doubling time is given as 33 years, we can calculate the Growth Rate using the formula:
Growth Rate = ln(2) / (Doubling time)
Growth Rate = 0.693 / 33
Growth Rate ≈ 0.021
Rounding it to the nearest tenth, the Growth Rate for Country B is approximately 0.02%.
The completed table is as follows:
Population Growth Rate Doubling time
Country A 1.3% yr 1 year
Country B 0.02% yr 33 years
To complete the table, we need to find the missing values of the growth rate and doubling time for each country.
For Country A:
Given growth rate: 1.3%
To find the doubling time, we can use the formula:
T = 70 / (growth rate in percent)
T = 70 / 1.3
T ≈ 53.8 years
Rounded to the nearest whole number, the doubling time for Country A is 54 years.
For Country B:
Given doubling time: 33 years
To find the growth rate, we can use the formula:
growth rate in percent = 70 / (doubling time in years)
growth rate in percent = 70 / 33
growth rate ≈ 2.1%
Rounded to the nearest tenth, the growth rate for Country B is 2.1% per year.
So, the completed table would be:
| Country | Growth Rate | Doubling Time |
|----------|-------------|---------------|
| Country A| 1.3% yr | 54 years |
| Country B| 2.1% yr | 33 years |