Write An Equation For \[$ P \$\], In Terms Of \[$ X \$\], Representing Deepa's Total Pay On A Day On Which She Sells \[$ X \$\] Dollars Worth Of Computers.Deepa Makes A Base Pay Of \[$\$80\$\] Per Day Regardless Of Sales
Introduction
In this article, we will explore the concept of Deepa's total pay on a day when she sells a certain amount of computers. We will create an equation that represents her total pay in terms of the amount of computers she sells, denoted as { x $}$. This equation will take into account her base pay and the additional pay she receives for each dollar worth of computers sold.
Understanding the Problem
Deepa makes a base pay of {$80$}$ per day, regardless of the amount of computers she sells. In addition to her base pay, she also receives a certain amount of pay for each dollar worth of computers sold. Let's assume that she receives {$y$}$ for each dollar worth of computers sold. Therefore, if she sells { x $}$ dollars worth of computers, she will receive {$xy$}$ in additional pay.
Creating the Equation
To create the equation representing Deepa's total pay, we need to add her base pay and the additional pay she receives for selling computers. The equation can be written as:
P = 80 + xy
where { P $}$ represents Deepa's total pay, { x $}$ represents the amount of computers sold, and { y $}$ represents the pay per dollar worth of computers sold.
Interpreting the Equation
The equation { P = 80 + xy $}$ can be interpreted as follows:
- The base pay of {$80$}$ is added to the equation, representing Deepa's pay regardless of the amount of computers sold.
- The additional pay of {$xy$}$ is added to the equation, representing the pay Deepa receives for each dollar worth of computers sold.
- The variable { x $}$ represents the amount of computers sold, and the variable { y $}$ represents the pay per dollar worth of computers sold.
Example
Let's say Deepa sells {$100$}$ worth of computers, and she receives {$2$}$ for each dollar worth of computers sold. We can plug these values into the equation to find her total pay:
P = 80 + (100)(2) P = 80 + 200 P = 280
Therefore, Deepa's total pay for selling {$100$}$ worth of computers is {$280$}$.
Conclusion
In this article, we created an equation representing Deepa's total pay on a day when she sells a certain amount of computers. The equation takes into account her base pay and the additional pay she receives for each dollar worth of computers sold. We also interpreted the equation and provided an example to illustrate its use.
Understanding the Role of Variables
In the equation { P = 80 + xy $}$, the variables { x $}$ and { y $}$ play a crucial role in determining Deepa's total pay. The variable { x $}$ represents the amount of computers sold, and the variable { y $}$ represents the pay per dollar worth of computers sold.
The Importance of Variables in Real-World Applications
Variables are essential in real-world applications, as they allow us to represent unknown values and make predictions based on those values. In the context of Deepa's total pay, the variables { x $}$ and { y $}$ enable us to calculate her total pay based on the amount of computers sold and the pay per dollar worth of computers sold.
Real-World Applications of the Equation
The equation { P = 80 + xy $}$ has numerous real-world applications, including:
- Sales forecasting: The equation can be used to forecast sales based on the amount of computers sold and the pay per dollar worth of computers sold.
- Budgeting: The equation can be used to create a budget for Deepa's total pay based on her sales and pay per dollar worth of computers sold.
- Performance evaluation: The equation can be used to evaluate Deepa's performance based on her sales and pay per dollar worth of computers sold.
Conclusion
Introduction
In our previous article, we created an equation representing Deepa's total pay on a day when she sells a certain amount of computers. The equation takes into account her base pay and the additional pay she receives for each dollar worth of computers sold. In this article, we will provide a Q&A guide to help you understand the equation and its applications.
Q: What is the base pay in the equation?
A: The base pay in the equation is {$80$}$, which represents Deepa's pay regardless of the amount of computers sold.
Q: What is the additional pay in the equation?
A: The additional pay in the equation is {$xy$}$, which represents the pay Deepa receives for each dollar worth of computers sold.
Q: What is the variable { x $}$ in the equation?
A: The variable { x $}$ in the equation represents the amount of computers sold.
Q: What is the variable { y $}$ in the equation?
A: The variable { y $}$ in the equation represents the pay per dollar worth of computers sold.
Q: How do I use the equation to calculate Deepa's total pay?
A: To use the equation to calculate Deepa's total pay, you need to plug in the values of { x $}$ and { y $}$ into the equation. For example, if Deepa sells {$100$}$ worth of computers and receives {$2$}$ for each dollar worth of computers sold, you can plug these values into the equation as follows:
P = 80 + (100)(2) P = 80 + 200 P = 280
Therefore, Deepa's total pay for selling {$100$}$ worth of computers is {$280$}$.
Q: What are some real-world applications of the equation?
A: The equation has numerous real-world applications, including:
- Sales forecasting: The equation can be used to forecast sales based on the amount of computers sold and the pay per dollar worth of computers sold.
- Budgeting: The equation can be used to create a budget for Deepa's total pay based on her sales and pay per dollar worth of computers sold.
- Performance evaluation: The equation can be used to evaluate Deepa's performance based on her sales and pay per dollar worth of computers sold.
Q: How can I modify the equation to suit my needs?
A: You can modify the equation to suit your needs by changing the values of { x $}$ and { y $}$. For example, if you want to calculate the total pay for selling {$50$}$ worth of computers and receiving {$1.50$}$ for each dollar worth of computers sold, you can plug these values into the equation as follows:
P = 80 + (50)(1.5) P = 80 + 75 P = 155
Therefore, the total pay for selling {$50$}$ worth of computers and receiving {$1.50$}$ for each dollar worth of computers sold is {$155$}$.
Conclusion
In conclusion, the equation { P = 80 + xy $}$ represents Deepa's total pay on a day when she sells a certain amount of computers. The equation takes into account her base pay and the additional pay she receives for each dollar worth of computers sold. We hope this Q&A guide has helped you understand the equation and its applications.
Frequently Asked Questions
- Q: What is the equation for Deepa's total pay? A: The equation for Deepa's total pay is { P = 80 + xy $}$.
- Q: What is the base pay in the equation? A: The base pay in the equation is {$80$}$.
- Q: What is the additional pay in the equation? A: The additional pay in the equation is {$xy$}$.
- Q: How do I use the equation to calculate Deepa's total pay? A: To use the equation to calculate Deepa's total pay, you need to plug in the values of { x $}$ and { y $}$ into the equation.
Glossary
- Base pay: The pay Deepa receives regardless of the amount of computers sold.
- Additional pay: The pay Deepa receives for each dollar worth of computers sold.
- Variable { x $}$: The amount of computers sold.
- Variable { y $}$: The pay per dollar worth of computers sold.
- Equation: A mathematical expression that represents Deepa's total pay.