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Here is a graph that represents a proportional relationship.
Invent a situation that could be represented by this graph.
Tyler was at the amusement park. He walked at a steady pace from the ticket booth to the bumper cars.
The point on the graph shows his arrival at the bumper cars. What do the coordinates of the point tell us about the situation?
Graph of a point, coordinate plane with grid, origin O. Horizontal axis, elapsed time (seconds), vertical axis, distance from the ticket booth (meters), both have scale 0 to 60 by 10’s. Point at (40 comma 50).
| time (seconds) |
distance (meters) |
|---|---|
| 0 | 0 |
| 20 | 25 |
| 30 | 37.5 |
| 40 | 50 |
| 1 |
4 seagulls ate 10 pounds of garbage. Assume this information describes a proportional relationship.
For the relationship represented in this table,
The equation
| |
|
|---|---|
| 4 | 5 |
| 5 | |
| 8 | 10 |
| 1 |
Here is the graph of this relationship.
Graph of a lin, x y plane, origin O. Horizontal and vertical axis scale 0 to 10 by 1’s. Line starts at (0 comma 0), rises to point (1 comma the fraction 5 over 4), rises to point (4 comma 5), rises to point (5 comma the fraction 25 over 4), then rises to point (8 comma 10) and keeps rising.
If
If
We can find the constant of proportionality by looking at the graph:
In general, when
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