Drag Each Expression Or Value To The Correct Box. Not All Tiles Will Be Used.Luke Started A Weight-loss Program. The First Week, He Lost $x$ Pounds. The Second Week, He Lost $\frac{3}{2}$ Pounds Less Than

Introduction

Weight loss is a common goal for many individuals, and tracking progress is essential to achieving success. In this scenario, Luke has started a weight-loss program and has lost a certain amount of weight in the first two weeks. We will use mathematical expressions to represent the weight loss and determine the correct values for each week.

The Problem

Luke lost $x$ pounds in the first week. In the second week, he lost $\frac{3}{2}$ pounds less than the first week. We need to determine the correct value for $x$ and the weight loss in the second week.

Step 1: Understanding the Problem

Let's break down the problem and understand what is being asked. We know that Luke lost $x$ pounds in the first week. In the second week, he lost $\frac{3}{2}$ pounds less than the first week. This means that the weight loss in the second week is $x - \frac{3}{2}$ pounds.

Step 2: Analyzing the Options

We are given several options for the weight loss in the first week. We need to determine which option is correct and then calculate the weight loss in the second week.

Step 3: Evaluating the Options

Let's evaluate each option and determine which one is correct.

Option A: 5 pounds

If Luke lost 5 pounds in the first week, then the weight loss in the second week would be:

Option B: 6 pounds

If Luke lost 6 pounds in the first week, then the weight loss in the second week would be:

6 - \frac{3}{2} = 6 - 1.5 = 4.5$ pounds ### Option C: 7 pounds If Luke lost 7 pounds in the first week, then the weight loss in the second week would be: $7 - \frac{3}{2} = 7 - 1.5 = 5.5$ pounds ### Option D: 8 pounds If Luke lost 8 pounds in the first week, then the weight loss in the second week would be: $8 - \frac{3}{2} = 8 - 1.5 = 6.5$ pounds ### Option E: 9 pounds If Luke lost 9 pounds in the first week, then the weight loss in the second week would be: $9 - \frac{3}{2} = 9 - 1.5 = 7.5$ pounds **Step 4: Determining the Correct Option** ----------------------------------------- Based on the calculations above, we can see that the weight loss in the second week is not a fixed value. It depends on the weight loss in the first week. Therefore, we need to determine which option is correct based on the given information. **Conclusion** ---------- In conclusion, we have analyzed the problem and determined that the weight loss in the second week depends on the weight loss in the first week. We have evaluated each option and calculated the weight loss in the second week for each option. The correct option is the one that results in a reasonable and realistic weight loss. **Answer** ---------- The correct answer is not a single value, but rather a range of values. Based on the calculations above, we can see that the weight loss in the second week can range from 3.5 pounds to 7.5 pounds. **Drag each expression or value to the correct box** ---------------------------------------------- | Box | Expression or Value | | --- | --- | | A | 5 pounds | | B | 6 pounds | | C | 7 pounds | | D | 8 pounds | | E | 9 pounds | | F | 3.5 pounds | | G | 4.5 pounds | | H | 5.5 pounds | | I | 6.5 pounds | | J | 7.5 pounds | Drag each expression or value to the correct box. Not all tiles will be used.&lt;br/&gt; **Frequently Asked Questions (FAQs)** ===================================== **Q: What is the main goal of Luke&#x27;s weight-loss program?** --------------------------------------------------- A: The main goal of Luke&#x27;s weight-loss program is to lose weight and achieve a healthy weight. **Q: What is the weight loss in the first week?** -------------------------------------------- A: The weight loss in the first week is represented by the variable $x$. **Q: What is the weight loss in the second week?** -------------------------------------------- A: The weight loss in the second week is $x - \frac{3}{2}$ pounds. **Q: How do I determine the correct value for $x$?** ----------------------------------------------- A: To determine the correct value for $x$, you need to evaluate each option and calculate the weight loss in the second week for each option. **Q: What are the options for the weight loss in the first week?** --------------------------------------------------------- A: The options for the weight loss in the first week are: | Option | Weight Loss in First Week | | --- | --- | | A | 5 pounds | | B | 6 pounds | | C | 7 pounds | | D | 8 pounds | | E | 9 pounds | **Q: How do I calculate the weight loss in the second week for each option?** ------------------------------------------------------------------- A: To calculate the weight loss in the second week for each option, you need to subtract $\frac{3}{2}$ pounds from the weight loss in the first week. **Q: What is the correct answer for the weight loss in the second week?** ---------------------------------------------------------------- A: The correct answer for the weight loss in the second week is not a single value, but rather a range of values. Based on the calculations above, we can see that the weight loss in the second week can range from 3.5 pounds to 7.5 pounds. **Q: How do I determine which option is correct?** ---------------------------------------------- A: To determine which option is correct, you need to evaluate each option and calculate the weight loss in the second week for each option. The correct option is the one that results in a reasonable and realistic weight loss. **Q: What is the significance of the weight loss in the second week?** ---------------------------------------------------------------- A: The weight loss in the second week is significant because it represents the progress that Luke has made in his weight-loss program. A higher weight loss in the second week indicates that Luke is on track to achieving his weight-loss goals. **Q: How can I apply this concept to my own weight-loss program?** ---------------------------------------------------------------- A: You can apply this concept to your own weight-loss program by tracking your weight loss over time and adjusting your diet and exercise routine as needed. By setting realistic goals and tracking your progress, you can stay motivated and achieve your weight-loss goals. **Q: What are some common mistakes to avoid when tracking weight loss?** ------------------------------------------------------------------- A: Some common mistakes to avoid when tracking weight loss include: * Not setting realistic goals * Not tracking progress regularly * Not adjusting diet and exercise routine as needed * Not staying motivated and focused on goals **Q: How can I stay motivated and focused on my weight-loss goals?** ---------------------------------------------------------------- A: You can stay motivated and focused on your weight-loss goals by: * Setting realistic and achievable goals * Tracking progress regularly * Adjusting diet and exercise routine as needed * Staying positive and motivated through support from friends and family **Q: What are some additional tips for achieving weight loss success?** ------------------------------------------------------------------- A: Some additional tips for achieving weight loss success include: * Eating a balanced and healthy diet * Engaging in regular physical activity * Getting enough sleep and rest * Managing stress and emotions * Seeking support from friends, family, and healthcare professionals</span></p>