**Graph Analysis: Understanding Rate of Change**In this problem, you are asked to choose the situation that best matches the graph of the function. ### Graph Description- **Axes:** - The x-axis represents **Time (minutes)**. - The y-axis represents **Amount of Water in Tub (gallons)**. - **Graph Line:** - The line starts at the point (0, 20) on the y-axis and descends directly to the point (8, 0) on the x-axis, forming a straight line. This indicates a consistent rate of change.### Options Provided1. A bathtub is filled at a constant rate of 1.75 gallons per minute.2. A bathtub is drained at a constant rate of 1.75 gallons per minute.3. A bathtub contains 2.5 gallons of water.4. A bathtub is filled at a constant rate of 2.5 gallons per minute.### Graph Interpretation- Since the line is descending from 20 gallons to 0 gallons over a period of 8 minutes, it indicates a draining action at a steady rate.- The slope of the line represents the rate of change in the amount of water: a decline from 20 gallons to 0 gallons over 8 minutes is a rate of 2.5 gallons per minute.**Correct Answer:**- The bathtub is drained at a constant rate of 2.5 gallons per minute.### Additional NoteUnderstanding the slope of the line helps in interpreting whether the situation described is a filling or draining process and at what rate. In this case, a negative slope indicates a decrease in the water level.

We can find the rate of change by calculating the slope of the line Slope of a line passing through…

Choose the situation that best matches the graph of the function. Amount of Water in Tub (gallons) 20- 15- 10- S 0 1 2 3 -50 4 Time (minutes) 6 OA bathtub is filled at a constant rate of 1.75 gallons per minute. A bathtub is drained at a constant rate of 1.75 gallons per minute A bathtub contains 2.5 gallons of water. A bathtub is filled at a constant rote of 2.5 gallons per minute. FA 8 16

Choose the situation that best matches the graph of the function. Amount of Water in Tub (gallons) 20- 15- 10- S 0 1 2 3 -50 4 Time (minutes) 6 OA bathtub is filled at a constant rate of 1.75 gallons per minute. A bathtub is drained at a constant rate of 1.75 gallons per minute A bathtub contains 2.5 gallons of water. A bathtub is filled at a constant rote of 2.5 gallons per minute. FA 8 16

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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