Chapter 6, Problem 12CCSR

To determine

To graph: the change it will show if the class charged $\$5$ per car washed.

Answer to Problem 12CCSR

The slope would increase.

Explanation of Solution

Given information:

The class total fund is $=\text{\$}65.$

The amount charge for each car washed is $\text{\$}4.$

Calculation:

Let the number of cars washed out be $x$

The linear equation that reflects the class fund is:

  $y=65+4x$

The general linear equation of the slope-intercept form is:

  $y=mx+b$

Here, $m$ represents the slope and $b$ represents the $y$ -intercept.

In this case; slope $=4$ and $y$ -intercept is $65.$

  

If the amount charge for a car washed is $\text{\$}5,$ then the linear equation that reflects the class fund is:

  $y=65+5x$

In this case; slope $=5$ and $y$ -intercept is 65

The charge for a car washed increases means that the coefficient of the $x$ increases.

The coefficient of $x$ represents the slope.

So, slope would increase.

How the graph would change when charge change to $\text{\$}5$ as shown below:

  

From the graph, it is observe that the slope would increase.

Hence, the answer matches with the option G