Understanding the Relationship Between Pints and Total Cost

Oct 13, 2025 by miodeya.com 47 views

Part A: Completing the Table for Pints and Total Cost

Understanding the Relationship Between Pints and Total Cost

In this section, we will explore the relationship between the number of pints and the total cost. We will use a table to display the information and complete the table with the missing values.

The Table

Number of Pints	Total Cost ($)
1
3
5

Assumptions and Given Information

Let's assume that the cost of each pint is constant, and we can use the given information to find the cost per pint. We are not given the cost per pint, but we can use the given values to find it.

Finding the Cost per Pint

To find the cost per pint, we can use the given values in the table. Let's assume that the cost per pint is x. Then, the total cost for 1 pint is x, for 3 pints is 3x, and for 5 pints is 5x.

Completing the Table

Now that we have the cost per pint, we can complete the table with the missing values.

Number of Pints	Total Cost ($)
1	x
3	3x
5	5x

Finding the Missing Values

We are given that the total cost for 3 pints is $9 and the total cost for 5 pints is $15. We can use this information to find the cost per pint.

Let's start with the total cost for 3 pints, which is $9. We know that the total cost for 3 pints is 3x, so we can set up the equation:

3x = 9

To solve for x, we can divide both sides of the equation by 3:

x = 9/3 x = 3

Now that we have the cost per pint, we can find the total cost for 1 pint, which is x, and the total cost for 5 pints, which is 5x.

Number of Pints	Total Cost ($)
1	3
3	9
5	15

Discussion

In this section, we completed the table to show the relationship between the number of pints and the total cost. We assumed that the cost per pint is constant and used the given information to find the cost per pint. We then used the cost per pint to complete the table with the missing values.

Conclusion

In conclusion, we have completed the table to show the relationship between the number of pints and the total cost. We used the given information to find the cost per pint and then used the cost per pint to complete the table with the missing values.

Final Answer

The final answer is:

Number of Pints	Total Cost ($)
1	3
3	9
5	15

Discussion Category: Mathematics

This problem falls under the category of mathematics, specifically algebra, as it involves solving equations and using variables to represent unknown values.
Part B: Q&A - Completing the Table for Pints and Total Cost

Understanding the Relationship Between Pints and Total Cost

In this section, we will explore the relationship between the number of pints and the total cost. We will use a table to display the information and complete the table with the missing values.

Q&A

Q: What is the relationship between the number of pints and the total cost?

A: The relationship between the number of pints and the total cost is that the total cost is equal to the number of pints multiplied by the cost per pint.

Q: How do we find the cost per pint?

A: We can find the cost per pint by using the given information in the table. Let's assume that the cost per pint is x. Then, the total cost for 1 pint is x, for 3 pints is 3x, and for 5 pints is 5x.

Q: What is the cost per pint?

A: We can find the cost per pint by using the given values in the table. Let's assume that the total cost for 3 pints is $9 and the total cost for 5 pints is $15. We can use this information to find the cost per pint.

Q: How do we complete the table with the missing values?

A: We can complete the table with the missing values by using the cost per pint. We know that the total cost for 1 pint is x, for 3 pints is 3x, and for 5 pints is 5x. We can use this information to fill in the missing values in the table.

Q: What is the total cost for 1 pint?

A: The total cost for 1 pint is x, which we found to be $3.

Q: What is the total cost for 3 pints?

A: The total cost for 3 pints is 3x, which we found to be $9.

Q: What is the total cost for 5 pints?

A: The total cost for 5 pints is 5x, which we found to be $15.

Q: How do we use the table to understand the relationship between the number of pints and the total cost?

A: We can use the table to understand the relationship between the number of pints and the total cost by looking at the values in the table. We can see that as the number of pints increases, the total cost also increases.

Q: What is the significance of the table in understanding the relationship between the number of pints and the total cost?

A: The table is significant in understanding the relationship between the number of pints and the total cost because it allows us to visualize the relationship between the two variables. We can see how the total cost changes as the number of pints increases.

Conclusion

Final Answer

The final answer is:

Number of Pints	Total Cost ($)
1	3
3	9
5	15

Discussion Category: Mathematics

This problem falls under the category of mathematics, specifically algebra, as it involves solving equations and using variables to represent unknown values.