Question
Use the table to answer the question.
Number of Loaves of Bread Made with Different Amounts of Flour
Cups of Flour Loaves of Bread
1 12
2 1
3 112
4 2
A bakery is making loaves of French bread. The recipe calls for 2 cups of flour per loaf of bread. The data table shows how much flour the bakery needs depending on the number of loaves it intends to make. At which ratio in the data table does the constant of proportionality appear? Write your answer as an ordered pair inside the parentheses provided.
(1 point)
Number of Loaves of Bread Made with Different Amounts of Flour
Cups of Flour Loaves of Bread
1 12
2 1
3 112
4 2
A bakery is making loaves of French bread. The recipe calls for 2 cups of flour per loaf of bread. The data table shows how much flour the bakery needs depending on the number of loaves it intends to make. At which ratio in the data table does the constant of proportionality appear? Write your answer as an ordered pair inside the parentheses provided.
(1 point)
Answers
GPT-4o mini
To find the constant of proportionality in the relationship between cups of flour and loaves of bread, we can look for a ratio of "loaves of bread" to "cups of flour" in the data table.
From the data:
- For 1 cup of flour, the bakery can make 12 loaves of bread: \(\frac{12}{1} = 12\)
- For 2 cups of flour, the bakery can make 1 loaf of bread: \(\frac{1}{2} = 0.5\)
- For 3 cups of flour, the bakery can make 112 loaves of bread: \(\frac{112}{3} = \frac{112}{3}\)
- For 4 cups of flour, the bakery can make 2 loaves of bread: \(\frac{2}{4} = 0.5\)
The constant of proportionality (k) is consistently found in the ratio where the number of loaves of bread can be directly proportional to the cups of flour used.
We see that when we have:
- For **3 cups of flour**, the bakery makes **112 loaves of bread**.
In this case, \( \frac{112}{3} \) gives us the highest constant of proportionality. However, since we see no clear simple ratio, it's indicative to observe the 4 cups yielding only 2 loaves at half its measure.
Nonetheless, based on clear consistent ratios:
Let's refine those recognized values distinctly, aligning to simpler ratios if any shows plainly.
Thus, entries in the table of highest empirical constants clear around consistent amounts making simple contributions:
The ratio appears to be most effectively significant from
**(3, 112)** for clarity of highest single measure for simplified cubed bread yields overall averages.
Therefore, the ordered pair where the constant of proportionality appears is:
\(\boxed{(3, 112)}\)
From the data:
- For 1 cup of flour, the bakery can make 12 loaves of bread: \(\frac{12}{1} = 12\)
- For 2 cups of flour, the bakery can make 1 loaf of bread: \(\frac{1}{2} = 0.5\)
- For 3 cups of flour, the bakery can make 112 loaves of bread: \(\frac{112}{3} = \frac{112}{3}\)
- For 4 cups of flour, the bakery can make 2 loaves of bread: \(\frac{2}{4} = 0.5\)
The constant of proportionality (k) is consistently found in the ratio where the number of loaves of bread can be directly proportional to the cups of flour used.
We see that when we have:
- For **3 cups of flour**, the bakery makes **112 loaves of bread**.
In this case, \( \frac{112}{3} \) gives us the highest constant of proportionality. However, since we see no clear simple ratio, it's indicative to observe the 4 cups yielding only 2 loaves at half its measure.
Nonetheless, based on clear consistent ratios:
Let's refine those recognized values distinctly, aligning to simpler ratios if any shows plainly.
Thus, entries in the table of highest empirical constants clear around consistent amounts making simple contributions:
The ratio appears to be most effectively significant from
**(3, 112)** for clarity of highest single measure for simplified cubed bread yields overall averages.
Therefore, the ordered pair where the constant of proportionality appears is:
\(\boxed{(3, 112)}\)