The table shows the height of a plant as it grows. Which equation in point-slope form gives the plant's height at any time?

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Plant Growth Analysis**

The table below illustrates the height of a plant as it grows over time. The task is to determine which equation in point-slope form correctly represents the plant's height at any given time.

| Time (months) | Plant Height (cm) |
|---------------|-------------------|
| 3             | 21                |
| 5             | 35                |
| 7             | 49                |
| 9             | 63                |

**Options:**

1. \( y - 21 = \frac{7}{2}(x - 3) \)
2. \( y - 21 = 7(x - 3) \)
3. \( y - 3 = \frac{7}{2}(x - 21) \)
4. The relationship is nonlinear.

Consider the data points provided and analyze the options to determine the correct relationship for this linear growth pattern using the point-slope form.
Transcribed Image Text:**Plant Growth Analysis** The table below illustrates the height of a plant as it grows over time. The task is to determine which equation in point-slope form correctly represents the plant's height at any given time. | Time (months) | Plant Height (cm) | |---------------|-------------------| | 3 | 21 | | 5 | 35 | | 7 | 49 | | 9 | 63 | **Options:** 1. \( y - 21 = \frac{7}{2}(x - 3) \) 2. \( y - 21 = 7(x - 3) \) 3. \( y - 3 = \frac{7}{2}(x - 21) \) 4. The relationship is nonlinear. Consider the data points provided and analyze the options to determine the correct relationship for this linear growth pattern using the point-slope form.
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