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QuestionGiven the populations for the world and India in 2030 and 2050, find:
(a) India's population change from 2030 to 2050.
(b) Change in India's percentage of the world population from 2030 to 2050.

Studdy Solution

STEP 1

Assumptions1. The world population in2030 is8460.1 million. . India's population in2030 is1456.5 million.
3. The world population in2050 is9117.9 million.
4. India's population in2050 is1468. million.

STEP 2

For part (a), we need to calculate the absolute change in the predicted population of India between2030 and2050. We can do this by subtracting the population of India in2030 from the population of India in2050.
Absolute change in India’s population=India’s population in2050−India’s population in2030\text{Absolute change in India's population} = \text{India's population in2050} - \text{India's population in2030}

STEP 3

Now, plug in the given values for India's population in2030 and2050 to calculate the absolute change.
Absolute change in India’s population=1468.2 million−1456.5 million\text{Absolute change in India's population} =1468.2 \text{ million} -1456.5 \text{ million}

STEP 4

Calculate the absolute change in India's population.
Absolute change in India’s population=1468.2 million−1456. million=11.7 million\text{Absolute change in India's population} =1468.2 \text{ million} -1456. \text{ million} =11.7 \text{ million}

STEP 5

For part (b), we first need to calculate the percentage of the world population that lives in India for both2030 and2050. We can do this by dividing India's population by the world population and multiplying by100.
Percentage of world population in India in2030=(India’s population in2030World population in2030)×100\text{Percentage of world population in India in2030} = \left(\frac{\text{India's population in2030}}{\text{World population in2030}}\right) \times100Percentage of world population in India in2050=(India’s population in2050World population in2050)×100\text{Percentage of world population in India in2050} = \left(\frac{\text{India's population in2050}}{\text{World population in2050}}\right) \times100

STEP 6

Now, plug in the given values for India's population and the world population in2030 and2050 to calculate the percentages.
Percentage of world population in India in2030=(1456.5 million8460.1 million)×100\text{Percentage of world population in India in2030} = \left(\frac{1456.5 \text{ million}}{8460.1 \text{ million}}\right) \times100Percentage of world population in India in2050=(1468.2 million911.9 million)×100\text{Percentage of world population in India in2050} = \left(\frac{1468.2 \text{ million}}{911.9 \text{ million}}\right) \times100

STEP 7

Calculate the percentages.
Percentage of world population in India in2030=(1456.5 million8460.1 million)×100=17.2%\text{Percentage of world population in India in2030} = \left(\frac{1456.5 \text{ million}}{8460.1 \text{ million}}\right) \times100 =17.2\%Percentage of world population in India in2050=(146.2 million9117.9 million)×100=16.1%\text{Percentage of world population in India in2050} = \left(\frac{146.2 \text{ million}}{9117.9 \text{ million}}\right) \times100 =16.1\%

STEP 8

Now, we can calculate the absolute change in the percent of the world population that lives in India between2030 and2050. We do this by subtracting the percentage in2030 from the percentage in2050.
Absolute change in percentage=Percentage in2050−Percentage in2030\text{Absolute change in percentage} = \text{Percentage in2050} - \text{Percentage in2030}

STEP 9

Plug in the values for the percentages in203 and205 to calculate the absolute change.
Absolute change in percentage=16.%−17.2%\text{Absolute change in percentage} =16.\% -17.2\%

STEP 10

Calculate the absolute change in percentage.
Absolute change in percentage=16.%−17.2%=−.%\text{Absolute change in percentage} =16.\% -17.2\% = -.\%The absolute change in the predicted population of India between2030 and2050 is.7 million. The absolute change in the percent of the world population that lives in India between2030 and2050 is -.%.

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