Chapter 5.4, Problem 16P

Model the data in each table with a linear equation in slope-intercept form. What do the slope and $y$-intercept represent?

To determine

To calculate: Model the data in table with a linear equation in slope-intercept form. What do the slope and $y$ -intercept represent?

  

Answer to Problem 16P

The slope intercept equations are $y=1800x+0$ , $y=450x+3600$ , $y=450x+2700$

, and $y=450x+1800$

Explanation of Solution

Given information: Use given table for the values

Calculation: The slope intercept form is $y=mx+c$ , where $m$ is slope and $c$ is $y$ -intercept.

Here in this problem slope is represented by how many miles away from the airport is the plane in an hour and $y$ -intercept is represented by how many miles away from the airport is the plane before it started flying..

The equations are

For first entry $m=\frac{3600-0}{2-0}=1800$ and $c=0$

so the equation is $y=1800x+0$

For second entry $m=\frac{3600-2700}{4-2}=450$ and $c=3600$

so the equation is $y=450x+3600$

For third entry $m=\frac{2700-1800}{6-4}=450$ and $c=2700$

so the equation is $y=450x+2700$

For fourth entry $m=\frac{1800-900}{8-6}=450$ and $c=1800$

so the equation is $y=450x+1800$

Conclusion: The slope intercept equations are $y=1800x+0$ , $y=450x+3600$ , $y=450x+2700$

, and $y=450x+1800$ .