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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?

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