The Table Below Shows The Cost In Rand For Litres Of Milk. Complete The Table.$[ \begin{tabular}{|l|l|l|l|l|l|l|} \hline Litres Of Milk & 1 & 2 & 4 & 6 & 8 & 12 \ \hline Cost In Rand & 8 & 16 & 32 & & 64 &
The Table of Milk Costs: A Mathematical Completion
In this article, we will be completing a table that shows the cost in rand for litres of milk. The table is incomplete, and we will use mathematical reasoning to fill in the missing values. This problem is a great example of how mathematics can be applied to real-world scenarios, making it an essential skill for anyone interested in mathematics.
| Litres of milk | 1 | 2 | 4 | 6 | 8 | 12 |
|---|---|---|---|---|---|---|
| Cost in rand | 8 | 16 | 32 | 64 |
Observations and Patterns
Before we start filling in the missing values, let's observe the pattern in the table. We can see that the cost of milk increases as the number of litres increases. In fact, the cost of milk is directly proportional to the number of litres. This means that if we double the number of litres, the cost will also double.
Mathematical Reasoning
Let's use mathematical reasoning to fill in the missing values. We can start by looking at the ratio of the cost to the number of litres. For example, for 1 litre of milk, the cost is 8 rand, and for 2 litres of milk, the cost is 16 rand. This means that the ratio of the cost to the number of litres is 8:1.
We can use this ratio to fill in the missing values. For 6 litres of milk, the cost will be 6 times the ratio, which is 6 x 8 = 48 rand. For 8 litres of milk, the cost will be 8 times the ratio, which is 8 x 8 = 64 rand. We already know this value, so we can move on to the next one.
For 12 litres of milk, the cost will be 12 times the ratio, which is 12 x 8 = 96 rand.
In conclusion, we have completed the table by using mathematical reasoning and observing the pattern in the data. We have shown that the cost of milk is directly proportional to the number of litres, and we have used this ratio to fill in the missing values.
| Litres of milk | 1 | 2 | 4 | 6 | 8 | 12 |
|---|---|---|---|---|---|---|
| Cost in rand | 8 | 16 | 32 | 48 | 64 | 96 |
This problem is a great example of how mathematics can be applied to real-world scenarios. By observing the pattern in the data and using mathematical reasoning, we were able to fill in the missing values and complete the table.
This problem also highlights the importance of ratio and proportion in mathematics. By understanding the ratio of the cost to the number of litres, we were able to fill in the missing values and complete the table.
This problem has many real-world applications. For example, in a store, the cost of milk is directly proportional to the number of litres. By understanding this ratio, the store owner can calculate the cost of milk for any number of litres.
In addition, this problem can be used to teach students about ratio and proportion in mathematics. By using real-world data, students can see the importance of these concepts and how they can be applied to everyday life.
In conclusion, we have completed the table by using mathematical reasoning and observing the pattern in the data. We have shown that the cost of milk is directly proportional to the number of litres, and we have used this ratio to fill in the missing values. This problem highlights the importance of ratio and proportion in mathematics and has many real-world applications.
The Table of Milk Costs: A Mathematical Completion - Q&A
In our previous article, we completed a table that shows the cost in rand for litres of milk. We used mathematical reasoning and observed the pattern in the data to fill in the missing values. In this article, we will answer some common questions related to the table and provide additional insights.
Q: What is the ratio of the cost to the number of litres? A: The ratio of the cost to the number of litres is 8:1. This means that for every 1 litre of milk, the cost is 8 rand.
Q: How did you determine the missing values in the table? A: We determined the missing values by using the ratio of the cost to the number of litres. We multiplied the number of litres by the ratio to get the cost.
Q: What is the cost of 6 litres of milk? A: The cost of 6 litres of milk is 48 rand. We determined this by multiplying 6 by the ratio of 8:1.
Q: What is the cost of 12 litres of milk? A: The cost of 12 litres of milk is 96 rand. We determined this by multiplying 12 by the ratio of 8:1.
Q: Is the cost of milk directly proportional to the number of litres? A: Yes, the cost of milk is directly proportional to the number of litres. This means that if we double the number of litres, the cost will also double.
Q: What are some real-world applications of this problem? A: Some real-world applications of this problem include calculating the cost of milk in a store, determining the cost of milk for a recipe, and understanding the concept of ratio and proportion in mathematics.
Q: How can I use this problem to teach students about ratio and proportion? A: You can use this problem to teach students about ratio and proportion by providing them with real-world data and asking them to calculate the missing values. This will help them understand the concept of ratio and proportion and how it can be applied to everyday life.
In conclusion, we have answered some common questions related to the table and provided additional insights. We have shown that the cost of milk is directly proportional to the number of litres and that the ratio of the cost to the number of litres is 8:1. We have also highlighted the importance of ratio and proportion in mathematics and provided some real-world applications of this problem.
If you are interested in learning more about ratio and proportion, we recommend the following resources:
- Khan Academy: Ratio and Proportion
- Math Open Reference: Ratio and Proportion
- IXL: Ratio and Proportion
In conclusion, we hope that this article has provided you with a better understanding of the table and the concept of ratio and proportion. We encourage you to try out the problems and exercises provided in this article and to explore the additional resources listed above.