When You Are Finished, Submit This Assignment To Your Teacher By The Due Date.---Question 1: (4 Points)A Pizzeria Sold 65 Pizzas Yesterday. A) The Owner Offers The Employees A Bonus If The Number Of Pizzas Sold Increases By 20 % 20\% 20% Today. How

Question 1: Calculating the Bonus for the Pizzeria Employees

Problem Description

A pizzeria sold 65 pizzas yesterday. The owner offers the employees a bonus if the number of pizzas sold increases by $20\%$ today. How many pizzas must be sold today to earn the bonus?

Step 1: Understand the Problem

To solve this problem, we need to calculate the number of pizzas that must be sold today to earn the bonus. The bonus is offered if the number of pizzas sold increases by $20\%$ today.

Step 2: Calculate the Number of Pizzas Sold Today to Earn the Bonus

Let's assume that the number of pizzas sold today is $x$. Since the bonus is offered if the number of pizzas sold increases by $20\%$, we can set up the following equation:

$$x = 65 + 0.20(65)$$

Step 3: Solve the Equation

To solve the equation, we need to calculate the value of $x$.

$$x = 65 + 0.20(65)$$

$$x = 65 + 13$$

$$x = 78$$

Therefore, the pizzeria must sell at least 78 pizzas today to earn the bonus.

Step 4: Conclusion

In conclusion, the pizzeria must sell at least 78 pizzas today to earn the bonus. This is calculated by increasing the number of pizzas sold yesterday by $20\%$.

Answer: The pizzeria must sell at least 78 pizzas today to earn the bonus.

Explanation:

• The problem states that the owner offers the employees a bonus if the number of pizzas sold increases by $20\%$ today.
• We assume that the number of pizzas sold today is $x$.
• We set up the equation $x = 65 + 0.20(65)$ to calculate the number of pizzas that must be sold today to earn the bonus.
• We solve the equation to find that $x = 78$.
• Therefore, the pizzeria must sell at least 78 pizzas today to earn the bonus.

Key Concepts:

• Percentage increase
• Algebraic equations
• Problem-solving

Real-World Applications:

• This problem can be applied to any business or organization that offers bonuses or incentives for meeting sales targets.
• Understanding how to calculate percentage increases and solve algebraic equations is essential for making informed business decisions.

Tips and Variations:

• To make this problem more challenging, you can increase the percentage increase or add additional constraints.
• You can also use this problem as a starting point to explore other mathematical concepts, such as graphing or optimization.

Common Mistakes:

• Failing to set up the correct equation
• Not solving the equation correctly
• Not considering additional constraints or variables

Conclusion:

Question 2: Calculating the Bonus for the Pizzeria Employees (Q&A)

Q&A: Calculating the Bonus for the Pizzeria Employees

Q: What is the bonus offered by the pizzeria owner?

A: The bonus is offered if the number of pizzas sold increases by $20\%$ today.

Q: How many pizzas were sold yesterday?

A: 65 pizzas were sold yesterday.

Q: What is the equation to calculate the number of pizzas sold today to earn the bonus?

A: The equation is $x = 65 + 0.20(65)$, where $x$ is the number of pizzas sold today.

Q: How do I solve the equation to find the number of pizzas sold today to earn the bonus?

A: To solve the equation, you need to calculate the value of $x$ by adding $65$ and $0.20(65)$.

Q: What is the value of $x$?

A: The value of $x$ is $78$.

Q: What does this mean in terms of the number of pizzas sold today to earn the bonus?

A: This means that the pizzeria must sell at least 78 pizzas today to earn the bonus.

Q: What are some key concepts involved in this problem?

A: The key concepts involved in this problem are percentage increase, algebraic equations, and problem-solving.

Q: How can I apply this problem to real-world scenarios?

A: You can apply this problem to any business or organization that offers bonuses or incentives for meeting sales targets.

Q: What are some common mistakes to avoid when solving this problem?

A: Some common mistakes to avoid when solving this problem include failing to set up the correct equation, not solving the equation correctly, and not considering additional constraints or variables.

Q: What are some tips and variations for this problem?

A: Some tips and variations for this problem include increasing the percentage increase or adding additional constraints.

Conclusion

In conclusion, this Q&A article provides a step-by-step guide to calculating the bonus for the pizzeria employees. By following the questions and answers, you can gain a deeper understanding of the mathematical concepts involved and apply this problem to real-world scenarios.

Key Concepts:

• Percentage increase
• Algebraic equations
• Problem-solving

Real-World Applications:

• This problem can be applied to any business or organization that offers bonuses or incentives for meeting sales targets.
• Understanding how to calculate percentage increases and solve algebraic equations is essential for making informed business decisions.

Tips and Variations:

• To make this problem more challenging, you can increase the percentage increase or add additional constraints.
• You can also use this problem as a starting point to explore other mathematical concepts, such as graphing or optimization.

Common Mistakes:

• Failing to set up the correct equation
• Not solving the equation correctly
• Not considering additional constraints or variables

Conclusion:

In conclusion, this Q&A article provides a comprehensive guide to calculating the bonus for the pizzeria employees. By following the questions and answers, you can gain a deeper understanding of the mathematical concepts involved and apply this problem to real-world scenarios.