2.1b Homework: Comparing Proportional Relationships
Use the graph completed during the class activity to answer questions 1-10 below.
1. Order the five activities from highest cost to lowest cost per hour.
2. How do you compare the cost per hour by looking at the graph?
3. How do you compare the cost per hour by looking at the equations?
4. Create a sixth activity in column f on page 23. Think of a situation which would be less expensive than
Bungee Jumping, but more expensive than the others. Fill in the table and make the graph.
Answer the questions below:
5. As the rate gets__________________, the line gets __________________.
6. Renting the pavilion at the park for 3 hours costs ________________.
7. Talking on the phone for 2.5 hours costs ________________.
8. Bungee jumping for________________ hours costs $40.
9. For $10 you can do each activity for approximately how much time?
a.
b.
c.
d.
e.
Long Distance
Roller Skating
Music Lessons
Park
Bungee
f. Jumping
10. Did you use the tables, equations or graphs to answer questions 5-10? Why?
8WB2 - 25
ã2014 University of Utah Middle School Math Project in partnership with the
Utah State Office of Education. Licensed under Creative Commons, cc-by.
11. The graph below shows the distance two snowboarders have traveled down a hill for several seconds.
Hannah is traveling 18 meters per second.
Torah
Hannah
a. Which equation below is the best choice to describe the distance Torah travels after x seconds.
a) y = 29 x
b) y = 17 x
c) y = 10 x
b. Explain your reasoning for your choice above.
d) y = -18x
c. The unit rate of 10 meters per seconds describes Christina’s speed going down the same hill. Draw a
line that could possibly represent her speed.
12. At Sweet Chicks Bakery the equation y = 3.25x represents the total cost to purchases cupcakes; where x
represents the number of cupcakes and y represents the total cost. The graph given below shows the cost
for buying cupcakes at Butter Cream Fairy Bakery.
a. Which bakery offers the better deal? Use the equation and graph to justify your answer.
b. Use the information given above to determine how much it will cost to buy 10 cupcakes at the
bakery with the better deal.
8WB2 - 26
ã2014 University of Utah Middle School Math Project in partnership with the
Utah State Office of Education. Licensed under Creative Commons, cc-by.
13. The table given below shows how much money Charlie earned every day that he worked last week. He
gets paid the same rate every hour.
Hours Worked
Money Earned
Tuesday
4
$38.00
Wednesday
5
$47.50
Friday
3.5
$33.25
Sophia earns $10.50 per hour at her job.
a. Using the same coordinate plane, draw a line that represents Charlie’s earnings if x represents the
number of hours worked and y represents the amount of money earned. Also draw a line that
represents how much Sophia earns. Label each line with the person’s name.
b. How can you use this graph to determine who makes more money?
8WB2 - 27
ã2014 University of Utah Middle School Math Project in partnership with the
Utah State Office of Education. Licensed under Creative Commons, cc-by.