The document is a worksheet about ratios, tables, graphs, and linear relationships involving the distance traveled by Mrs. Labuski on her bike over time. It contains a table with the distance traveled in various times. Students are asked to write ratios, complete the table, graph the data as ordered pairs, describe the graph, use the graph to find distances and times, and recognize the linear pattern.

1. Name __________________________________ Date __________________
Mrs. Labuski / Mrs. Portsmore Period ________ Unit 7 Lesson 4 Ratios, Tables, Graphs
OC 5-2
Mrs. Labuski is training for a triathlon. She rides her bike at a constant speed.
The table shows the distance that she travels on her bike in various amounts of time.
Distance (mi) 1 3 12
Time (min) 4 36 60
1. Use the numbers in the first column of the table to write a ratio of distance to time.________
2. How far does the bike travel in 1 minute? ______________________________________
3. Use your answer to write another ratio of distance to time.____________________________
4. The ratios in 1 & 3 are ________________________________________________________
5. How can you use your answer to 2 to find the distance the bike travels in a given number of
minutes? _____________________________________________________________________
6. Complete the table. What are the equivalent ratios shown in the table?
7. Write the information in the table as ordered pairs.
Use Time as the x-coordinates and Distance as the y-coordinates. (careful!!!)
(1,4) (3,_____) (_____,36) (12,_____) (_____,60)
8. Graph the ordered pairs and connect the points

2. 9. Describe your graph _______________________
10. For each ordered pair that you graphed,
write the ratio of the y-coordinate to the x-coordinate.__________________________________
11. The bike’s speed is . How are the ratios in 10 related to the bike’s speed?
_____________________________________________________________________________
12. The point (40,10) is on the graph but not in the table. The ratio of the y-coordinate to the x-
coordinate is ________. How is this ratio related to the ratios in 10 and 11? _______________
____________________________________________________________________________
13. So in 40 minutes, the bike travels _________________________.
14. What do you think is true about every point on the graph? __________________________
_____________________________________________________________________________
15. How can you use the graph to find the distance the bike travels in 20 minutes?___________
_____________________________________________________________________________
16. Use the graph to find the distance the bike travels in 20 minutes.
______________________
17. How can you use the graph to find how long it will take Mrs. Labuski travel 7.5 miles?___
_____________________________________________________________________________
18. Use the graph to find how long it will take Mrs. Labuski travel 7.5 miles.____________
19. If the graph were continued further, would the point (160,40) be on the graph? _________
How do you know? ____________________________________________________________
_____________________________________________________________________________