Let P¡ and P, be the populations (in hundreds) of Town 1 and Town 2, respectively. The table below shows data for these two populations for five different years. Year 1980 1983 1985 1989 1993 56 62 68 74 80 P2 83 78 73 68 63 Find the average rate of change of each population over each of the time intervals below. (a) From 1980 to 1985, the average rate of change of the population of Town 1 was hundred people per yea and the average rate of change of the population of Town 2 was hundred people per year.

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Population Data Analysis

Let \( P_1 \) and \( P_2 \) be the populations (in hundreds) of Town 1 and Town 2, respectively. The data table below shows the populations for these two towns over five different years.

| Year | \( P_1 \) | \( P_2 \) |
|------|------|------|
| 1980 | 56   | 83   |
| 1983 | 62   | 78   |
| 1985 | 68   | 73   |
| 1989 | 74   | 68   |
| 1993 | 80   | 63   |

#### Task

Find the average rate of change of each population over each of the time intervals below.

**(a)** From 1980 to 1985, calculate the average rate of change for both towns:
- **Town 1**: ______ hundred people per year.
- **Town 2**: ______ hundred people per year.

**(b)** From 1985 to 1993, calculate the average rate of change for both towns:
- **Town 1**: ______ hundred people per year.
- **Town 2**: ______ hundred people per year.

**(c)** From 1980 to 1993, calculate the average rate of change for both towns:
- **Town 1**: ______ hundred people per year.
- **Town 2**: ______ hundred people per year.

#### Graph/Diagram Explanation
The table presented is a simple two-column format listing yearly population numbers for Town 1 and Town 2. This data can be used to calculate the average rate of change over specified time intervals. The calculations involve determining how much the population changed from the start to the end of each period, divided by the number of years in that period.

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Transcribed Image Text:Certainly. Here is the text and explanation formatted for an educational website: --- ### Population Data Analysis Let \( P_1 \) and \( P_2 \) be the populations (in hundreds) of Town 1 and Town 2, respectively. The data table below shows the populations for these two towns over five different years. | Year | \( P_1 \) | \( P_2 \) | |------|------|------| | 1980 | 56 | 83 | | 1983 | 62 | 78 | | 1985 | 68 | 73 | | 1989 | 74 | 68 | | 1993 | 80 | 63 | #### Task Find the average rate of change of each population over each of the time intervals below. **(a)** From 1980 to 1985, calculate the average rate of change for both towns: - **Town 1**: ______ hundred people per year. - **Town 2**: ______ hundred people per year. **(b)** From 1985 to 1993, calculate the average rate of change for both towns: - **Town 1**: ______ hundred people per year. - **Town 2**: ______ hundred people per year. **(c)** From 1980 to 1993, calculate the average rate of change for both towns: - **Town 1**: ______ hundred people per year. - **Town 2**: ______ hundred people per year. #### Graph/Diagram Explanation The table presented is a simple two-column format listing yearly population numbers for Town 1 and Town 2. This data can be used to calculate the average rate of change over specified time intervals. The calculations involve determining how much the population changed from the start to the end of each period, divided by the number of years in that period. ---
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