Chapter 9.4, Problem 11IP

To determine

To determine who earns more money per hour between E and J.

Answer to Problem 11IP

E earns more money than J.

Explanation of Solution

Given information:

The equation of J

  $y=9.2x$

where $y=\text{money}$ and $x=\text{hours}$

For E,

Hours	4	5	6	7
Money earned	40.60	50.75	60.90	71.05

Calculations:

For Javier,

  $\begin{array}{l}y=9.2x\\ \text{slope}\text{of}\text{J}=9.2\end{array}$

For E,

Taking any two points from the given table:

  $(4,40.60)$ and $(5,50.75)$

Now calculate the slope from the given points.

  $\begin{array}{l}m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{50.75-40.60}{5-4}\\ m=\frac{10.15}{1}\\ \text{slope}\text{of}\text{E}=10.15\end{array}$

Therefore,

The slope of Emore than J.

Therefore,

Eearns more money than J.