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)
The constant of proportionality for this situation is the number of cups of flour needed per loaf of bread. Looking at the data table, we can see that for every 1 loaf of bread, 2 cups of flour are needed.
Hence, the ratio that represents the constant of proportionality is (1, 2).
Number of Adults 1 2 3 5 10 100 Cost of Tickets ($) 75 150 225 375 750 7,500 Determine if the quantities in the data table are in a proportional relationship. If the quantities have a proportional relationship, answer 1. If the quantities do not have a proportional relationship, answer 2. (1 point)
To determine if the quantities in the data table are in a proportional relationship, we can check if the ratio of the cost of tickets to the number of adults is constant.
Let's calculate the ratios for each row:
For 1 adult: 75/1 = 75
For 2 adults: 150/2 = 75
For 3 adults: 225/3 = 75
For 5 adults: 375/5 = 75
For 10 adults: 750/10 = 75
For 100 adults: 7500/100 = 75
We can see that in each case, the ratio is 75. Therefore, the quantities in the data table are in a proportional relationship.
The answer is 1.
Hours Miles walked 14 1 12 2 34 3 1 4 It takes Julian 12 hour to walk 2 miles. He decides to start walking in his spare time, but because he wants to make sure he has enough time to go a desired distance he created the data table. At which ratio does the constant of proportionality appear?
To determine the ratio at which the constant of proportionality appears, we need to examine the relationship between the hours walked and the miles walked.
The ratio between hours and miles will give us the constant of proportionality.
Let's calculate the ratios for each row:
For 1 hour: 1 mile
For 2 hours: 2 miles
For 3 hours: 34/3 miles (approximately 11.33 miles)
For 4 hours: 1 mile
We can see that the ratio is not constant. It changes from 1:1, to 2:2, to approximately 11.33:3, and back to 1:1.
Therefore, the constant of proportionality does not appear in any of the ratios in the data table.
To find the ratio where the constant of proportionality appears, we need to check if the amount of flour is directly proportional to the number of loaves. This means that the ratio of the amount of flour to the number of loaves should remain constant.
Let's examine the data table given, and calculate the ratios for each row:
Number of Loaves (x) | Amount of Flour (y)
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2 | 4
3 | 6
4 | 8
5 | 10
To calculate the ratios, we divide the amount of flour by the number of loaves:
Ratio = Amount of Flour / Number of Loaves
For the given data table, the ratios are as follows:
Ratio for 2 loaves: 4/2 = 2
Ratio for 3 loaves: 6/3 = 2
Ratio for 4 loaves: 8/4 = 2
Ratio for 5 loaves: 10/5 = 2
As we can see, the ratio remains constant at 2 for each row. The constant of proportionality appears at the ratio (2,2).
Therefore, the answer is (2,2).
To identify the ratio in the data table where the constant of proportionality appears, we need to examine the relationship between the number of loaves and the amount of flour needed.
Let's analyze the given data table:
Number of Loaves | Amount of Flour (cups)
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1 | 2
2 | 4
3 | 6
4 | 8
To find the constant of proportionality, we need to look for the ratio of the amount of flour to the number of loaves.
Let's calculate the ratios for each set of data:
- For the first row, the ratio is 2/1 = 2.
- For the second row, the ratio is 4/2 = 2.
- For the third row, the ratio is 6/3 = 2.
- For the fourth row, the ratio is 8/4 = 2.
As we can observe, in every row, the ratio of the amount of flour to the number of loaves is constant and equal to 2. Hence, the constant of proportionality in the data table is 2.
Therefore, the answer is the ordered pair (2, 1).