A. Create a table of the measurements for your data (like in a table above or you can use that table). Label the forearm measurements as your input and the foot measurements as your output.
B. Select two sets of points and find the rate of change for your data.
C. Describe your results. If you had to express this relation as a verbal statement, how would you describe it?
A. Here is a table showing the measurements for forearm as input and foot as output:
| Forearm Measurement (Input) | Foot Measurement (Output) |
|-----------------------------|--------------------------|
| 10.5 | 9 |
| 11 | 9.5 |
| 12 | 10.5 |
| 12.5 | 11.5 |
| 13 | 12 |
| 13.5 | 12.5 |
B. Let's select two sets of points: (10.5, 9) and (12, 10.5). To find the rate of change, we can calculate the slope of the line passing through these two points.
First, we can find the change in foot measurement (output):
Change in foot measurement = 10.5 - 9 = 1.5
Next, we can find the change in forearm measurement (input):
Change in forearm measurement = 12 - 10.5 = 1.5
Now, we can calculate the rate of change:
Rate of change = change in foot measurement / change in forearm measurement
Rate of change = 1.5 / 1.5 = 1
Similarly, we can select another set of points and calculate the rate of change.
C. The results show that for every 1 unit increase in forearm measurement, there is a 1 unit increase in foot measurement. This indicates a linear relationship between forearm and foot measurements. In other words, as the forearm measurement increases, the foot measurement also increases at a constant rate.