Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
To determine the equation that represents the amount of money Bailey earns weekly given that she earns a greater weekly salary than Eric but has the same commission rate, let's break it down step-by-step.
### Step-by-Step Solution:
1. Understanding Eric's Earnings:
- Eric's weekly earnings are given by the equation [tex]\(y = 10x + 50\)[/tex].
- In this equation:
- [tex]\( y \)[/tex] is the total weekly earnings.
- [tex]\( x \)[/tex] is the number of items sold.
- The coefficient [tex]\( 10 \)[/tex] represents a commission rate of [tex]$10 per item sold. - The constant term \( 50 \) represents Eric's fixed weekly salary. 2. Identifying Bailey's Weekly Earnings: - Bailey has the same commission rate of $[/tex]10 per item sold.
- However, it is stated that her weekly salary is greater than Eric's, which means the constant term in her earnings equation will be greater than [tex]$50. 3. Formulating Bailey's Earnings: - Since the commission per item remains the same, the coefficient for \( x \) in Bailey's earnings equation will also be \( 10 \). - The crucial difference lies in her fixed weekly salary, which must be greater than $[/tex]50. We need to represent this greater weekly salary using different values.
- We will consider different possible higher weekly salaries to represent Bailey's earnings. Let’s choose [tex]\( 60 \)[/tex], [tex]\( 70 \)[/tex], and [tex]\( 80 \)[/tex] as sample higher weekly salaries for illustration.
4. Resulting Equations for Bailey's Earnings:
- For a weekly salary of [tex]$60, Bailey's earnings can be represented by the equation \( y = 10x + 60 \). - For a weekly salary of $[/tex]70, Bailey's earnings can be represented by the equation [tex]\( y = 10x + 70 \)[/tex].
- For a weekly salary of $80, Bailey's earnings can be represented by the equation [tex]\( y = 10x + 80 \)[/tex].
### Conclusion:
Bailey's weekly earnings, based on the number of items sold, can be represented by any of the following equations, depending on her specific salary:
1. [tex]\( y = 10x + 60 \)[/tex]
2. [tex]\( y = 10x + 70 \)[/tex]
3. [tex]\( y = 10x + 80 \)[/tex]
These equations illustrate that for [tex]\( x \)[/tex] items sold, the amount of money Bailey earns weekly will be more than Eric’s because her weekly salary (represented by the constant term) is greater.
### Step-by-Step Solution:
1. Understanding Eric's Earnings:
- Eric's weekly earnings are given by the equation [tex]\(y = 10x + 50\)[/tex].
- In this equation:
- [tex]\( y \)[/tex] is the total weekly earnings.
- [tex]\( x \)[/tex] is the number of items sold.
- The coefficient [tex]\( 10 \)[/tex] represents a commission rate of [tex]$10 per item sold. - The constant term \( 50 \) represents Eric's fixed weekly salary. 2. Identifying Bailey's Weekly Earnings: - Bailey has the same commission rate of $[/tex]10 per item sold.
- However, it is stated that her weekly salary is greater than Eric's, which means the constant term in her earnings equation will be greater than [tex]$50. 3. Formulating Bailey's Earnings: - Since the commission per item remains the same, the coefficient for \( x \) in Bailey's earnings equation will also be \( 10 \). - The crucial difference lies in her fixed weekly salary, which must be greater than $[/tex]50. We need to represent this greater weekly salary using different values.
- We will consider different possible higher weekly salaries to represent Bailey's earnings. Let’s choose [tex]\( 60 \)[/tex], [tex]\( 70 \)[/tex], and [tex]\( 80 \)[/tex] as sample higher weekly salaries for illustration.
4. Resulting Equations for Bailey's Earnings:
- For a weekly salary of [tex]$60, Bailey's earnings can be represented by the equation \( y = 10x + 60 \). - For a weekly salary of $[/tex]70, Bailey's earnings can be represented by the equation [tex]\( y = 10x + 70 \)[/tex].
- For a weekly salary of $80, Bailey's earnings can be represented by the equation [tex]\( y = 10x + 80 \)[/tex].
### Conclusion:
Bailey's weekly earnings, based on the number of items sold, can be represented by any of the following equations, depending on her specific salary:
1. [tex]\( y = 10x + 60 \)[/tex]
2. [tex]\( y = 10x + 70 \)[/tex]
3. [tex]\( y = 10x + 80 \)[/tex]
These equations illustrate that for [tex]\( x \)[/tex] items sold, the amount of money Bailey earns weekly will be more than Eric’s because her weekly salary (represented by the constant term) is greater.
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.
