**Population Data Analysis**The table below shows data for the population (in hundreds) of a town for four different years. Find the average rate of change from 1990 to 2000.| Year | 1990 | 1992 | 1995 | 2000 ||---------------------------------|------|------|------|------|| Population (in hundreds) | 78 | 83 | 88 | 93 |**Task:**Calculate the average rate of change in the population over the years.**Formula to Calculate Average Rate of Change:**The average rate of change is calculated by taking the difference in population values and dividing by the number of years between the initial and final values.**Calculation Steps:**1. Find the total change in population from 1990 to 2000: \[ \Delta Population = 93 - 78 = 15 \text{ hundred people} \]2. Find the total number of years between 1990 and 2000: \[ \Delta Time = 2000 - 1990 = 10 \text{ years} \]3. Calculate the average rate of change: \[ \text{Average rate of change} = \frac{\Delta Population}{\Delta Time} = \frac{15}{10} = 1.5 \text{ hundred people per year} \]**Result:**The average rate of change in the population is $1.5$ hundred people per year.

Plz like ? The average rate of change in population f(t) is given by-

The table below shows data for the population (in hundreds) of a town for four different years. Find the average rate of change from 1990 to 2000. Year 1990 1992 1995 2000 Population (in hundreds) 78 83 88 93 The average rate of change in the population is i people per year.

The table below shows data for the population (in hundreds) of a town for four different years. Find the average rate of change from 1990 to 2000. Year 1990 1992 1995 2000 Population (in hundreds) 78 83 88 93 The average rate of change in the population is i people per year.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

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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Exponential Growth Model

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Question

**Population Data Analysis**

The table below shows data for the population (in hundreds) of a town for four different years. Find the average rate of change from 1990 to 2000.

| Year | 1990 | 1992 | 1995 | 2000 |
|---------------------------------|------|------|------|------|
| Population (in hundreds) | 78 | 83 | 88 | 93 |

**Task:**
Calculate the average rate of change in the population over the years.

**Formula to Calculate Average Rate of Change:**
The average rate of change is calculated by taking the difference in population values and dividing by the number of years between the initial and final values.

**Calculation Steps:**
1. Find the total change in population from 1990 to 2000:
\[
\Delta Population = 93 - 78 = 15 \text{ hundred people}
\]
2. Find the total number of years between 1990 and 2000:
\[
\Delta Time = 2000 - 1990 = 10 \text{ years}
\]
3. Calculate the average rate of change:
\[
\text{Average rate of change} = \frac{\Delta Population}{\Delta Time} = \frac{15}{10} = 1.5 \text{ hundred people per year}
\]

**Result:**
The average rate of change in the population is $1.5$ hundred people per year.

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