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This graph shows the world population, in billions, between 1951 and 2015 - OCR - GCSE Maths - Question 10 - 2017 - Paper 1

Question 10

This graph shows the world population, in billions, between 1951 and 2015. Use the graph to estimate the average rate of growth of the world population between 1951... show full transcript

Worked Solution & Example Answer:This graph shows the world population, in billions, between 1951 and 2015 - OCR - GCSE Maths - Question 10 - 2017 - Paper 1

Step 1

Estimate the Population in 1951 and 2015

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Answer

From the graph:

In 1951, the world population is approximately 2.6 billion.
In 2015, the world population is approximately 7.4 billion.

Step 2

Calculate the Change in Population

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Answer

The change in population from 1951 to 2015 is calculated as:

$7.4 ext{ billion} - 2.6 ext{ billion} = 4.8 ext{ billion}$

Step 3

Calculate the Time Period

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Answer

The time period between 1951 and 2015 is:

$2015 - 1951 = 64 ext{ years}$

Step 4

Calculate the Average Rate of Growth

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Answer

The average rate of growth can be calculated using the formula:

$ext{Average Rate of Growth} = \frac{ ext{Change in Population}}{ ext{Time Period}}$

Substituting the values:

$\frac{4.8 ext{ billion}}{64 ext{ years}} \approx 0.075 \text{ billion/year}$

This can also be expressed as:

$75,000,000 ext{ people/year}$

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