Chapter 1.3, Problem 3E

To determine

To write: An equation of a line and interpret the slope by using the graph.

Answer to Problem 3E

Equation of line is $y=\frac{1x}{5}$ .

Explanation of Solution

Given Information: - Given the graph.

Calculation:

As see in the graph that line is passing through the points (0,0) and (10,2).

Therefore slope $=\frac{y_2-y_1}{x_2-x_1}$

  $=\frac{2-0}{10-0}$

  $=\frac{2}{10}=\frac{1}{5}$

Now equation of line using point slope from

  $\begin{array}{l}y-y_1=m(x-x_1)\\ y-0=\frac{1}{5}(x-0)\\ y=\frac{x}{5}\end{array}$

Here slope indicates that if meal cost one dollar more the tip will be greater for $\frac{1}{5}$ dollars.