Johanna Buys 11.2 Pounds Of Tomatoes. Each Pound Costs $$4.19$$. Which Expression Gives The Best Estimate Of The Cost Of The Tomatoes?A. (12)($5)B. (12)($4) C. (11)($5)D. (11)($4)
Introduction
In this article, we will explore the concept of estimating the cost of a large quantity of tomatoes. Johanna has purchased 11.2 pounds of tomatoes, and each pound costs $4.19. We will examine the given options and determine which expression provides the best estimate of the cost of the tomatoes.
Understanding the Problem
To find the total cost of the tomatoes, we need to multiply the weight of the tomatoes (11.2 pounds) by the cost per pound ($4.19). However, the options provided are not exact representations of this calculation. We will need to analyze each option and determine which one gives the best estimate.
Option A: (12)($5)
Option A is (12)($5). This option is an overestimation of the cost, as it assumes that Johanna purchased 12 pounds of tomatoes instead of 11.2 pounds. Additionally, the cost per pound is estimated at $5, which is higher than the actual cost of $4.19.
Option B: (12)($4)
Option B is (12)($4). This option is also an overestimation of the cost, as it assumes that Johanna purchased 12 pounds of tomatoes instead of 11.2 pounds. However, the cost per pound is estimated at $4, which is lower than the actual cost of $4.19.
Option C: (11)($5)
Option C is (11)($5). This option is an overestimation of the cost, as it assumes that the cost per pound is $5, which is higher than the actual cost of $4.19.
Option D: (11)($4)
Option D is (11)($4). This option is the closest estimate to the actual cost of the tomatoes. It assumes that Johanna purchased 11 pounds of tomatoes (rounding down from 11.2 pounds) and estimates the cost per pound at $4, which is lower than the actual cost of $4.19.
Conclusion
Based on the analysis of each option, we can conclude that Option D, (11)($4), provides the best estimate of the cost of the tomatoes. This option takes into account the actual weight of the tomatoes (11.2 pounds) and estimates the cost per pound at $4, which is the closest to the actual cost of $4.19.
Why is this the best estimate?
This option is the best estimate because it takes into account the actual weight of the tomatoes (11.2 pounds) and estimates the cost per pound at $4, which is the closest to the actual cost of $4.19. The other options either overestimate the weight of the tomatoes or the cost per pound, resulting in a less accurate estimate.
What can we learn from this problem?
This problem teaches us the importance of accuracy when estimating costs. In real-world scenarios, small errors in estimation can add up and result in significant differences in cost. By taking the time to analyze each option and determine the best estimate, we can ensure that our calculations are accurate and reliable.
Real-World Applications
This problem has real-world applications in various fields, such as:
- Business: Estimating costs is crucial in business, as it affects profit margins and pricing strategies.
- Finance: Accurate cost estimation is essential in finance, as it impacts investment decisions and budgeting.
- Science: Estimating costs is critical in scientific research, as it affects the allocation of resources and the feasibility of projects.
Conclusion
Introduction
In our previous article, we explored the concept of estimating the cost of a large quantity of tomatoes. Johanna has purchased 11.2 pounds of tomatoes, and each pound costs $4.19. We analyzed the given options and determined that Option D, (11)($4), provides the best estimate of the cost of the tomatoes. In this article, we will answer some frequently asked questions related to estimating the cost of tomatoes.
Q: What is the best way to estimate the cost of a large quantity of tomatoes?
A: The best way to estimate the cost of a large quantity of tomatoes is to multiply the weight of the tomatoes by the cost per pound. However, if the weight is not a whole number, you can round down to the nearest whole number to get a more accurate estimate.
Q: Why is it important to estimate the cost of tomatoes accurately?
A: Estimating the cost of tomatoes accurately is important because small errors in estimation can add up and result in significant differences in cost. In business, finance, and science, accurate cost estimation is crucial for making informed decisions and allocating resources effectively.
Q: What are some common mistakes people make when estimating the cost of tomatoes?
A: Some common mistakes people make when estimating the cost of tomatoes include:
- Overestimating the weight of the tomatoes
- Overestimating the cost per pound
- Not rounding down to the nearest whole number when the weight is not a whole number
Q: How can I improve my estimation skills when it comes to the cost of tomatoes?
A: To improve your estimation skills when it comes to the cost of tomatoes, you can:
- Practice multiplying whole numbers by decimals
- Use real-world examples to practice estimating costs
- Review and analyze your past estimates to identify areas for improvement
Q: What are some real-world applications of estimating the cost of tomatoes?
A: Some real-world applications of estimating the cost of tomatoes include:
- Business: Estimating costs is crucial in business, as it affects profit margins and pricing strategies.
- Finance: Accurate cost estimation is essential in finance, as it impacts investment decisions and budgeting.
- Science: Estimating costs is critical in scientific research, as it affects the allocation of resources and the feasibility of projects.
Q: Can I use a calculator to estimate the cost of tomatoes?
A: Yes, you can use a calculator to estimate the cost of tomatoes. However, it's essential to understand the calculation and the underlying math to ensure accuracy.
Q: What is the formula for estimating the cost of tomatoes?
A: The formula for estimating the cost of tomatoes is:
Cost = Weight x Cost per pound
Where:
- Cost is the total cost of the tomatoes
- Weight is the weight of the tomatoes in pounds
- Cost per pound is the cost of one pound of tomatoes
Conclusion
In conclusion, estimating the cost of tomatoes is a crucial skill that requires accuracy and attention to detail. By understanding the calculation and the underlying math, you can improve your estimation skills and make informed decisions in business, finance, and science. Remember to practice multiplying whole numbers by decimals, use real-world examples to practice estimating costs, and review and analyze your past estimates to identify areas for improvement.