### Home > CC2MN > Chapter 4 > Lesson 4.2.4 > Problem4-60

4-60.

Is the relationship shown in the table at right proportional? If so, use it to complete a Proportions Web. If not, explain why it is not.

For the relationship to be proportional, there must be a steady rate at which dirt is excavated that begins with $0$ cubic
yards excavated after $0$ hours of work.

Yes, this relationship is proportional, since the amount of dirt excavated divided by the hours worked is a constant ratio.

$\large\frac{6.6\text{ yards}^{3}}{3 \text{ hours}}=\frac{8.8}{4}=\frac{17.6}{8}=\frac{19.8}{9}=2.2$ cubic yards per hour.

Now write the equation for this relationship and then graph it.

Hours Worked

Amount of Dirt Excavated
(cubic yards)

$3$

$6.6$

$4$

$8.8$

$8$

$17.6$

$9$

$19.8$

Complete the table in the eTool below to view the graph.
Click the link at right for the full version of the eTool: 4-60 HW eTool (Desmos)