Constant of Proportionality Activity

Example 1: This graph shows how the distance Marcela runs depends on the number of track practices she attends.

Example 2: This graph shows how the cost of a corporate team-building event depends on the number of attendees.

Distance Vs. Practices
Practices, x Distance in miles, y
yx
= k
1 2
21
= ?
2 4
42
= ?
3 6
63
= ?
4 8
84
= ?
5 10
105
= ?

What is the constant of proportionality, k?

Write your answer as a decimal or integer.

miles per practice

Distance Vs. Practices
Number of attendees, x Cost in dollars, y
yx
= k
2 1
12
= ?
4 2
24
= ?
6 3
36
= ?
8 4
48
= ?
10 5
510
= ?

What is the constant of proportionality, k?

$ per attendee