Jessica Is A Pet Sitter. The Amount She Earns Is Modeled By The Equation C = 10 H + 35 C = 10h + 35 C = 10 H + 35 , Where H H H Is The Number Of Hours She Pet Sits And C C C Is The Amount She Earns In Dollars. Which Statement Best Describes The

As a pet sitter, Jessica's earnings are directly tied to the number of hours she spends caring for her clients' pets. The equation $c = 10h + 35$ provides a clear relationship between the hours she works and the amount she earns in dollars. In this article, we will delve into the world of mathematics to understand the statement that best describes the relationship between hours and earnings.

The Equation: A Key to Understanding

The equation $c = 10h + 35$ is a linear equation, where $c$ represents the amount Jessica earns in dollars and $h$ represents the number of hours she spends pet sitting. The equation can be broken down into two parts: the first part, $10h$, represents the amount Jessica earns per hour, and the second part, $35$, represents a fixed amount she earns regardless of the number of hours she works.

The Slope: A Measure of Earnings per Hour

The slope of the equation, which is 10, represents the amount Jessica earns per hour. This means that for every hour she spends pet sitting, she earns $10. The slope is a critical component of the equation, as it provides a clear understanding of how Jessica's earnings change in response to the number of hours she works.

The Y-Intercept: A Fixed Amount

The y-intercept of the equation, which is 35, represents a fixed amount that Jessica earns regardless of the number of hours she works. This means that even if Jessica doesn't work a single hour, she still earns $35. The y-intercept is an important component of the equation, as it provides a baseline for Jessica's earnings.

The Relationship Between Hours and Earnings

The equation $c = 10h + 35$ describes a linear relationship between the number of hours Jessica works and the amount she earns in dollars. As the number of hours she works increases, her earnings also increase at a rate of $10 per hour. This means that if Jessica works 5 hours, she earns $10 x 5 + 35 = $65. If she works 10 hours, she earns $10 x 10 + 35 = $135.

Which Statement Best Describes the Relationship?

Based on the equation $c = 10h + 35$, the statement that best describes the relationship between hours and earnings is:

Jessica's earnings increase at a rate of $10 per hour, and she earns a fixed amount of $35 regardless of the number of hours she works.

This statement accurately captures the linear relationship between the number of hours Jessica works and the amount she earns in dollars.

Conclusion

In conclusion, the equation $c = 10h + 35$ provides a clear understanding of the relationship between the number of hours Jessica works as a pet sitter and the amount she earns in dollars. The slope of the equation represents the amount she earns per hour, and the y-intercept represents a fixed amount she earns regardless of the number of hours she works. By understanding this relationship, we can accurately describe the statement that best describes the relationship between hours and earnings.

Key Takeaways

• The equation $c = 10h + 35$ describes a linear relationship between the number of hours Jessica works and the amount she earns in dollars.
• The slope of the equation represents the amount Jessica earns per hour.
• The y-intercept represents a fixed amount Jessica earns regardless of the number of hours she works.
• The statement that best describes the relationship between hours and earnings is: "Jessica's earnings increase at a rate of $10 per hour, and she earns a fixed amount of $35 regardless of the number of hours she works."
  Q&A: Understanding the Relationship Between Hours and Earnings ===========================================================

As a pet sitter, Jessica's earnings are directly tied to the number of hours she spends caring for her clients' pets. The equation $c = 10h + 35$ provides a clear relationship between the hours she works and the amount she earns in dollars. In this article, we will delve into the world of mathematics to answer some frequently asked questions about the relationship between hours and earnings.

Q: What is the equation $c = 10h + 35$ trying to tell us?

A: The equation $c = 10h + 35$ is trying to tell us that Jessica's earnings are directly tied to the number of hours she works as a pet sitter. The equation shows that for every hour she works, she earns $10, and she also earns a fixed amount of $35 regardless of the number of hours she works.

Q: What is the slope of the equation, and what does it represent?

A: The slope of the equation is 10, which represents the amount Jessica earns per hour. This means that for every hour she spends pet sitting, she earns $10.

Q: What is the y-intercept of the equation, and what does it represent?

A: The y-intercept of the equation is 35, which represents a fixed amount that Jessica earns regardless of the number of hours she works. This means that even if Jessica doesn't work a single hour, she still earns $35.

Q: How does the equation $c = 10h + 35$ describe the relationship between hours and earnings?

A: The equation $c = 10h + 35$ describes a linear relationship between the number of hours Jessica works and the amount she earns in dollars. As the number of hours she works increases, her earnings also increase at a rate of $10 per hour.

Q: What is the significance of the fixed amount $35 in the equation?

A: The fixed amount $35 in the equation represents a baseline for Jessica's earnings. This means that even if Jessica doesn't work a single hour, she still earns $35.

Q: How can we use the equation $c = 10h + 35$ to calculate Jessica's earnings?

A: We can use the equation $c = 10h + 35$ to calculate Jessica's earnings by plugging in the number of hours she works. For example, if Jessica works 5 hours, we can calculate her earnings as follows:

$c = 10h + 35$ $c = 10(5) + 35$ $c = 50 + 35$ $c = 85$

This means that if Jessica works 5 hours, she earns $85.

Q: What is the relationship between the number of hours Jessica works and her earnings?

A: The relationship between the number of hours Jessica works and her earnings is a linear relationship. As the number of hours she works increases, her earnings also increase at a rate of $10 per hour.

Q: Can we use the equation $c = 10h + 35$ to predict Jessica's earnings for a given number of hours?

A: Yes, we can use the equation $c = 10h + 35$ to predict Jessica's earnings for a given number of hours. By plugging in the number of hours she works, we can calculate her earnings.

Conclusion

In conclusion, the equation $c = 10h + 35$ provides a clear understanding of the relationship between the number of hours Jessica works as a pet sitter and the amount she earns in dollars. By answering some frequently asked questions, we have gained a deeper understanding of the equation and its significance in describing the relationship between hours and earnings.

Key Takeaways

• The equation $c = 10h + 35$ describes a linear relationship between the number of hours Jessica works and the amount she earns in dollars.
• The slope of the equation represents the amount Jessica earns per hour.
• The y-intercept represents a fixed amount Jessica earns regardless of the number of hours she works.
• We can use the equation $c = 10h + 35$ to calculate Jessica's earnings by plugging in the number of hours she works.
• The relationship between the number of hours Jessica works and her earnings is a linear relationship.