Lesson 1

In Try This 1 you may have found that the dependent variable was the amount of money made, and the independent variable was the number of hours worked. Again, this is a linear relation because the points formed a straight line. You were able to use the graph to determine that after 30 hours of work Rashib should have made $540.

 

In Try This 1 the graph of the relation started at the point (0, 0). Do all linear relations need to start at zero? In Try This 2 you will graph a different linear relation and compare it to the linear relation from Try This 1.

 

Try This 2

 

A1 Bobcat Services charges $75/h for services rendered, plus an initial fee of $120 to reach the worksite. Estimating that a project is going to take 2 days (16 h), find the cost of hiring the bobcat and its operator.

1. Complete a table similar to the one shown.
   
   

   Number of Hours of Service	Cost ($)
   0	120
   4	420
   8
   12
   16

2. Graph the number of hours of service versus cost.

Save your responses in your course folder.

 

Share 2

 

With a partner or in a group, compare the two graphs you created in Try This 1 question 6 and Try This 2 question 2. Discuss the following questions.

1. How are the two graphs similar?
2. How are the two graphs different?
3. What term can be used to describe the rate of change in each graph?
4. What term can be used to describe the starting point in each graph?

Save your responses in your course folder.