Concept explainers
Find the type of function that best models the data.Write an equation to model the data.
Answer to Problem 3P
Linear model ;
Explanation of Solution
Given :
The table shows the annual income of a small theater company.
Calculation:
Let x represent the year.
y represent the income.
First we plot the points on the graph.
So, the points are in a line.
We check the difference in points of x and in points of y :
Difference in x -coordinates | Difference in y -coordinates |
1-0=1 | 18730-18254=476 |
2-1=1 | 19215-18730=485 |
3-2=1 | 19695-19215=480 |
4-3=1 | 20175-19695=480 |
The y-values have common difference of about 480.
So, the model can be represented by the linear equation of the form
The slope is
Consider the point (0,18254) and substitute in the equation to find b :
So, the equation that models the given data is :
Check the equation by substituting any point in it.
So, the equation is correct.
Chapter 9 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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