# Worksheet: Graphs of Proportional Relationships

In this worksheet, we will practice identifying the graph of proportional relationships, determining the constant of proportionality (unit rate), and explaining the meaning of each point on the graph.

**Q1: **

Jennifer decided to make pizzas. The graph shows the number of tomatoes needed for a given number of pizzas.

Determine which of the following statements is true.

- AThe point (3, 6) shows that to make 3 pizzas she needs 6 tomatoes.
- BThe point shows that she needs 5 tomatoes to make 10 pizzas.
- CThe point (8, 4) shows that she needs 8 tomatoes to make 4 pizzas.
- DThe point shows that she needs 5 tomatoes to make 10 pizzas.
- EThe point (6, 3) shows that to make 6 pizzas she needs 3 tomatoes.

**Q2: **

From the graph, find the constant of proportionality between the electricity bill and electricity consumption (i.e., the cost of electricity per kilowatt-hour).

- A$8.33 per kilowatt-hour
- B$0.2 per kilowatt-hour
- C$0.12 per kilowatt-hour
- D$5 per kilowatt-hour
- E$1.2 per kilowatt-hour

**Q3: **

Isabella is using origami sheets to make flowers. The following table and graph show the number of flowers she makes and the number of origami sheets she uses. Is this a proportional relationship?

Number of Flowers | 1 | 2 | 3 | 4 |
---|---|---|---|---|

Number of Sheets | 2 | 4 | 6 | 12 |

- ANo
- BYes

**Q4: **

The given graph shows the distance traveled against time. Which of the following statements
is **not** true?

- AAny point of coordinates on this graph means that the distance traveled in hours is miles.
- BIt takes 10 hours to bike 1 mile.
- CThe distance traveled in 7 hours is 70 miles.
- DThe speed is 10 miles per hour.
- EIn 45 minutes, the distance traveled is 7.5 miles.

**Q5: **

Hannah started doing exercise in order to lose weight. She lost 150 grams per week. Which of the following graphs represents Hannah’s situation?

- A
- B
- C
- D