Is this right? ### In-Home Pet Care Fee AnalysisThe graph below shows the fees for in-home pet care.![Graph of In-Home Pet Care Fees](graph_image_url) #### Graph Details:- **Title:** In Home Pet Care Fees- **X-Axis:** Hours (ranging from 0 to 8)- **Y-Axis:** Fee (in dollars, ranging from 0 to 22, increasing by 2-dollar increments)- The graph depicts an upward linear trend, indicating a constant rate of increase in fees with respect to hours.### Question:Which statement best describes the slope of the graph?- The in-home pet care fee is $2.25 per hour.- **(Selected)** The in-home pet care fee is $2.50 per hour.- The in-home pet care fee is $4.00 per hour.- The in-home pet care fee is $6.00 per hour.#### Explanation:The slope of the graph represents the rate of increase in fees with respect to the number of hours. To determine the slope:1. Identify two points on the line. For instance, (0, 0) and (8, 20).2. Use the slope formula: \[ \text{slope} = \frac{{\text{Change in fee}}}{{\text{Change in hours}}} = \frac{(20 - 0)}{(8 - 0)} = \frac{20}{8} = 2.50 \]Thus, the rate of increase in fees is $2.50 per hour, hence the selected answer is correct.

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Description: Is this right? ### In-Home Pet Care Fee AnalysisThe graph below shows the fees for in-home pet care.![Graph of In-Home Pet Care Fees](graph_image_url) #### Graph Details:- **Title:** In Home Pet Care Fees- **X-Axis:** Hours (ranging from 0 to 8)- **Y

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The graph below shows the fees for in-home pet care. In Home Pet Care Fees y 22 20 18 16 7 14 12 10 6 2 Hours Which statement best describes the slope of the graph? O The in-home pet care fee is $2.25 per hour. • The in-home pet care fee is $2.50 per hour. O The in-home pet care fee is $4.00 per hour. O The in-home pet care fee is $6.00 per hour. (dollars)

The graph below shows the fees for in-home pet care. In Home Pet Care Fees y 22 20 18 16 7 14 12 10 6 2 Hours Which statement best describes the slope of the graph? O The in-home pet care fee is $2.25 per hour. • The in-home pet care fee is $2.50 per hour. O The in-home pet care fee is $4.00 per hour. O The in-home pet care fee is $6.00 per hour. (dollars)

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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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Question

Is this right?

### In-Home Pet Care Fee Analysis

The graph below shows the fees for in-home pet care.

![Graph of In-Home Pet Care Fees](graph_image_url)

#### Graph Details:
- **Title:** In Home Pet Care Fees
- **X-Axis:** Hours (ranging from 0 to 8)
- **Y-Axis:** Fee (in dollars, ranging from 0 to 22, increasing by 2-dollar increments)
- The graph depicts an upward linear trend, indicating a constant rate of increase in fees with respect to hours.

### Question:
Which statement best describes the slope of the graph?

- The in-home pet care fee is $2.25 per hour.
- **(Selected)** The in-home pet care fee is $2.50 per hour.
- The in-home pet care fee is $4.00 per hour.
- The in-home pet care fee is $6.00 per hour.

#### Explanation:
The slope of the graph represents the rate of increase in fees with respect to the number of hours. To determine the slope:
1. Identify two points on the line. For instance, (0, 0) and (8, 20).
2. Use the slope formula:

\[ \text{slope} = \frac{{\text{Change in fee}}}{{\text{Change in hours}}} = \frac{(20 - 0)}{(8 - 0)} = \frac{20}{8} = 2.50 \]

Thus, the rate of increase in fees is $2.50 per hour, hence the selected answer is correct.

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