Sure! Here are a few graphs representing proportional relationships:
1) Direct Proportion:
A graph of a direct proportion would be a straight line passing through the origin. As the x-values increase, the y-values also increase proportionally.
Example: The relationship between the number of hours worked and the amount of money earned at an hourly rate of $10.
```
Hours Worked (x) | Amount Earned (y)
---------------------------------
0 | 0
1 | 10
2 | 20
3 | 30
4 | 40
```
2) Inverse Proportion:
A graph of an inverse proportion would be a hyperbola. As the x-values increase, the y-values decrease proportionally.
Example: The relationship between the number of hours spent on a task and the amount of time it takes to complete the task.
```
Hours Spent (x) | Time to Complete (y)
---------------------------------
1 | 10
2 | 5
3 | 3.33
4 | 2.5
. | .
. | .
```
3) Joint Variation:
A graph of joint variation would include both direct and inverse relationships. It would not be a straight line or a hyperbola, but rather a curve that shifts between direct and inverse proportions.
Example: The relationship between the volume of a gas, the pressure, and the temperature. This relationship can be represented by the ideal gas law equation: PV = nRT, where P represents pressure, V represents volume, T represents temperature, n represents the number of moles of gas, and R is the ideal gas constant.
I hope these examples help you practice understanding and interpreting graphs of proportional relationships!
Graphs of proportional relationships practice
1 answer