Explore: Graphing Technology Lab, Investigating Slope-Intercept Form
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We want to know how the rate of change relates to a graph of the data set. Let's remind ourselves of the data we collected and the graph we made. If the measurements are made of a different size of washers, the data will likely be different.
Number of Washers | Weight |
---|---|
0 | 0.07 |
1 | 0.26 |
2 | 0.45 |
3 | 0.64 |
4 | 0.83 |
5 | 1.02 |
6 | 1.21 |
We then created a scatter plot of the data.
The points lie on the dashed line. This line has a rate of change, or slope, of 0.19. The rate of change shows how the function changes as we move along the x-axis. In this case, a rate of change of 0.19 means that as we add one washer to the plastic bag, the weight of the bag increases by 0.19 pounds.