Question: This graph shows the population in Africa, in millions, between $1950$ and $2000$. Use the graph to estimate the average rate of growth of the African population between $1950$ and $2000$. Give suitable units for your answer.
1. **State the problem:** We need to estimate the average rate of growth of the African population between the years $1950$ and $2000$ using the graph data.
2. **Identify the data points from the graph:**
- Population in $1950$ is approximately $230$ million.
- Population in $2000$ is approximately $810$ million.
3. **Recall the formula for average rate of change:**
$$\text{Average rate of growth} = \frac{\text{Change in population}}{\text{Change in time}} = \frac{P_{2000} - P_{1950}}{2000 - 1950}$$
4. **Calculate the change in population:**
$$810 - 230 = 580 \text{ million}$$
5. **Calculate the change in time:**
$$2000 - 1950 = 50 \text{ years}$$
6. **Calculate the average rate of growth:**
$$\frac{580}{50} = 11.6 \text{ million people per year}$$
7. **Interpretation:** The average rate of growth of the African population between $1950$ and $2000$ is approximately $11.6$ million people per year.