Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 35 liters per minute. There are 700 liters in the pond to start. Let W represent the amount of water in the pond (in liters), and let T represent the number of minutes that water has been added. Write an equation relating W to T, and then graph your equation using the axes below. 900- 800 EX 700 600 Equation: O=0 500 400-
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 35 liters per minute. There are 700 liters in the pond to start. Let W represent the amount of water in the pond (in liters), and let T represent the number of minutes that water has been added. Write an equation relating W to T, and then graph your equation using the axes below. 900- 800 EX 700 600 Equation: O=0 500 400-
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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Make sure that I can graph it. In the W and the T
![Title: Calculating Water Volume in a Pond Over Time
**Problem Statement:**
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 35 liters per minute. There are 700 liters in the pond to start.
**Objective:**
Let \( W \) represent the amount of water in the pond (in liters), and let \( T \) represent the number of minutes that water has been added. Write an equation relating \( W \) to \( T \), and then graph your equation using the axes below.
**Solution:**
To find the equation, consider the initial amount of water and the rate of addition:
- **Initial water:** 700 liters
- **Rate of adding water:** 35 liters per minute
The equation that models this situation is:
\[ W = 700 + 35T \]
**Graph Explanation:**
The graph is a coordinate plane with \( W \) on the vertical axis and \( T \) on the horizontal axis. The scale of the vertical axis ranges from 0 to 1000, with intervals of 100. The horizontal axis ranges from 0 to 7, with intervals of 1.
As \( T \) increases, the line representing the equation will start at \( W = 700 \) when \( T = 0 \) and will rise with a slope of 35 liters per minute.
**Interactive Elements:**
- A box to input the equation.
- Buttons for additional graph-related functions: clear, reset, and help.
**Tools:**
- Explanation and Check buttons for further assistance and verification of the solution.
This educational activity helps students understand linear relationships and how to graph them effectively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2afdb793-7012-417a-ba1a-2c4d4df308a5%2F3020406c-ce7a-4544-8abd-b99088dece71%2F13ejopk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Title: Calculating Water Volume in a Pond Over Time
**Problem Statement:**
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 35 liters per minute. There are 700 liters in the pond to start.
**Objective:**
Let \( W \) represent the amount of water in the pond (in liters), and let \( T \) represent the number of minutes that water has been added. Write an equation relating \( W \) to \( T \), and then graph your equation using the axes below.
**Solution:**
To find the equation, consider the initial amount of water and the rate of addition:
- **Initial water:** 700 liters
- **Rate of adding water:** 35 liters per minute
The equation that models this situation is:
\[ W = 700 + 35T \]
**Graph Explanation:**
The graph is a coordinate plane with \( W \) on the vertical axis and \( T \) on the horizontal axis. The scale of the vertical axis ranges from 0 to 1000, with intervals of 100. The horizontal axis ranges from 0 to 7, with intervals of 1.
As \( T \) increases, the line representing the equation will start at \( W = 700 \) when \( T = 0 \) and will rise with a slope of 35 liters per minute.
**Interactive Elements:**
- A box to input the equation.
- Buttons for additional graph-related functions: clear, reset, and help.
**Tools:**
- Explanation and Check buttons for further assistance and verification of the solution.
This educational activity helps students understand linear relationships and how to graph them effectively.
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