Unit 6, Lesson 21
Skills for Mathematical Modeling
Extra Support Materials for Algebra 1
21.1
Warm-up
What is an equation that would be a reasonable model for this data?
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What is an equation that would be a reasonable model for this data?
Step 1:
Step 2:
Step 3:
Step 4:
In the spring, an agave plant sends up a flower spike. Here are some data collected from an agave plant in a garden in Tucson, AZ, starting on April 2:
| day | height in inches |
|---|---|
| 0 | 17 |
| 1 | 23 |
| 2 | 29 |
| 3 | 37 |
| 4 | 45 |
| 5 | 52 |
| 6 | 62 |
| 7 | 70 |
| 8 | 80 |
Data Set A shows the height in feet of some buildings and the number of floors in each building. Would a linear or exponential model be a better fit?
Data Set B shows the results of using the “enlarge by 25%” feature on a copy machine several times on a photo. The width in centimeters of the photo is measured after each copy is made. Would a linear or exponential model be a better fit?
| day | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|---|---|---|---|---|---|---|---|---|
| height in inches | 34 | 44 | 52 | 61 | 68 | 74 | 83 | 91 | 97 |
| number of cubes | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| number of rolls | 5 | 29 | 140 | 794 | 3,861 |