Concept explainers
(a)
To graph the data and tell whether it suggests linear, exponential or quadratic model.
(a)
Answer to Problem 25PPE
The linear model.
Explanation of Solution
Given:
The following table shows the population of a small town-
Calculation:
The above graph shows the linear model.
(b)
To find the rate of change of population with respect to time from one data pair to next.
(b)
Answer to Problem 25PPE
Explanation of Solution
Given:
The following table shows the population of a small town-
Calculation:
The rate of change in the population is the slope of the line-
(c)
To write the function that models the data shown in the table.
(c)
Answer to Problem 25PPE
Explanation of Solution
Given:
The following table shows the population of a small town-
Calculation:
The following is the equation that shows the model-
(d)
To predict the town’s population in 2050.
(d)
Answer to Problem 25PPE
Explanation of Solution
Given:
The following table shows the population of a small town-
Calculation:
The town’s population in 2050 will be-
(e)
To write the equation that finds the difference in the population of the two towns.
(e)
Answer to Problem 25PPE
Explanation of Solution
Given:
The following table shows the population of a small town-
The another function is given as
Calculation:
The first equation is-
And the second equation is-
The difference between these two equations are-
Hence, the difference in the population is
Chapter 9 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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