II. Laura needs to clean her 150-gallon fish tank. The water in the fish tank is draining at a rate of 8 gallons per hour. a. Make a table to represent the amount of water in the fish tank in terms of the number of hours elapsed. Time, in hours 0 1 2 3 4 Amount of water in the fish tank, in gallons 159 174 182 b. What are the independent and dependent variables for the problem situation? Independent variable: time in Hrs Dependent variable: Amount water c. Describe any patterns in the data. +8 each 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: Fish Tank Water Drainage

Laura needs to clean her 150-gallon fish tank. The water in the fish tank is draining at a rate of 8 gallons per hour.

### Table of Water Amount Over Time

| Time, in hours | Amount of water in the fish tank, in gallons |
|----------------|----------------------------------------------|
| 0              | 150                                          |
| 1              | 158                                          |
| 2              | 166                                          |
| 3              | 174                                          |
| 4              | 182                                          |

### Analysis

b. **Variables:**
   - **Independent variable:** Time, in hours
   - **Dependent variable:** Amount of water

c. **Patterns in the Data:**
   - The amount of water increases by 8 gallons each hour.

d. **Linear Function:**
   - This data can be represented by a linear function. (Yes)

e. **Point (0, 150) Explanation:**
   - Represents the initial amount of water at 0 hours, which is 150 gallons. (hours to gallons)

f. **Note:**
   - For additional calculations, such as determining how much water is left after a specific number of hours, follow the linear pattern established in the table.
Transcribed Image Text:## Problem: Fish Tank Water Drainage Laura needs to clean her 150-gallon fish tank. The water in the fish tank is draining at a rate of 8 gallons per hour. ### Table of Water Amount Over Time | Time, in hours | Amount of water in the fish tank, in gallons | |----------------|----------------------------------------------| | 0 | 150 | | 1 | 158 | | 2 | 166 | | 3 | 174 | | 4 | 182 | ### Analysis b. **Variables:** - **Independent variable:** Time, in hours - **Dependent variable:** Amount of water c. **Patterns in the Data:** - The amount of water increases by 8 gallons each hour. d. **Linear Function:** - This data can be represented by a linear function. (Yes) e. **Point (0, 150) Explanation:** - Represents the initial amount of water at 0 hours, which is 150 gallons. (hours to gallons) f. **Note:** - For additional calculations, such as determining how much water is left after a specific number of hours, follow the linear pattern established in the table.
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Given

Volume of fist tank = 150 gallon

Draining rate of water from fist tank is 8 gallon per hour.

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