Chapter 5.4, Problem 15P

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 15P

The slope intercept equations are $y=6x+0$ , $y=6x+18$ , $y=6x+30$ , and $y=3x+36$

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 the numbers of cars washed in an hour and $y$ -intercept is represented by the number of cars washed before the starting of washing.

The equations are

For first entry $m=\frac{18-0}{3-0}=6$ and $c=0$

so the equation is $y=6x+0$

For second entry $m=\frac{30-18}{5-3}=6$ and $c=18$

so the equation is $y=6x+18$

For third entry $m=\frac{36-30}{6-5}=6$ and $c=30$

so the equation is $y=6x+30$

For first entry $m=\frac{48-36}{8-6}=6$ and $c=36$

so the equation is $y=3x+36$

Conclusion: The slope intercept equations are $y=6x+0$ , $y=6x+18$ , $y=6x+30$ , and $y=3x+36$ .