To find the average rate of change of the population between 1930 and 1950, we use the formula:

$\text{Average rate of change} = \frac{\text{Change in population}}{\text{Change in time}}$

Step 1: Identify the population values for 1930 and 1950

From the graph:

• In 1930, the population is approximately 30,000 (as the population axis is in thousands).
• In 1950, the population is approximately 40,000.

Step 2: Calculate the change in population

$\text{Change in population} = 40,000 - 30,000 = 10,000$

Step 3: Calculate the change in time

$\text{Change in time} = 1950 - 1930 = 20 \text{ years}$

Step 4: Calculate the average rate of change

$\text{Average rate of change} = \frac{10,000}{20} = 500 \text{ people per year}$

Final Answer

The average rate of change of the population between 1930 and 1950 is 500 people per year.

Would you like more details on any step or have further questions?

Here are some related questions:

1. What is the average rate of change between 1950 and 1980?
2. How can you interpret a negative average rate of change?
3. What is the total population change from 1900 to 2000?
4. Why is average rate of change different from instantaneous rate of change?
5. What if we calculated the rate of change in a smaller interval, such as 1940 to 1945?

Tip: Remember, the average rate of change formula works like finding the slope of a line between two points on a graph.