Use the table to answer the question, pounds of bananas 2,3,5,7 cost 2.50, 3.75, 6.25, 8.75 determine if the quantities in this data table are in a proportional relationship, if the quantity is have a proportional relationship, answer 1 in the quantities do not have a proportional relationship answer 2
To determine if the quantities in the data table have a proportional relationship, we need to check if the ratios of pounds of bananas to cost are the same for all the quantities.
The ratios of pounds of bananas to cost are as follows:
For 2 pounds of bananas, the cost is 2.50. So, the ratio is 2/2.50 = 0.8.
For 3 pounds of bananas, the cost is 3.75. So, the ratio is 3/3.75 = 0.8.
For 5 pounds of bananas, the cost is 6.25. So, the ratio is 5/6.25 = 0.8.
For 7 pounds of bananas, the cost is 8.75. So, the ratio is 7/8.75 = 0.8.
Since the ratios are the same for all the quantities, we can conclude that the quantities in this data table have a proportional relationship.
Therefore, the answer is 1.
Use the table to answer the question number of adults 1,2,3,5,10 cost of tickets 75, 150, 225, 375, 750, 7,500 Determine if the quantities in this data table are in a proportional relationship, if the quantity is have a proportional relationship, answer 1 in the quantities do not have a proportional relationship answer 2
To determine if the quantities in the data table have a proportional relationship, we need to check if the ratios of the number of adults to the cost of tickets are the same for all the quantities.
The ratios of the number of adults to the cost of tickets are as follows:
For 1 adult, the cost of tickets is 75. So, the ratio is 1/75 = 0.0133.
For 2 adults, the cost of tickets is 150. So, the ratio is 2/150 = 0.0133.
For 3 adults, the cost of tickets is 225. So, the ratio is 3/225 = 0.0133.
For 5 adults, the cost of tickets is 375. So, the ratio is 5/375 = 0.0133.
For 10 adults, the cost of tickets is 750. So, the ratio is 10/750 = 0.0133.
Since the ratios are the same for all the quantities, we can conclude that the quantities in this data table have a proportional relationship.
Therefore, the answer is 1.
Use the table to answer the question cups of flour 1,2,3,4 loaves of bread 1/2, 1, 1 1/2, 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 intends to make at which ratio in the data table, does the constant of proportionality appear
To determine at which ratio in the data table the constant of proportionality appears, we need to check if the ratio of cups of flour to loaves of bread remains constant.
The recipe states that 2 cups of flour are needed per loaf of bread.
Let's calculate the ratios for each quantity:
For 1/2 loaf of bread, the cups of flour needed are 1. So, the ratio is 1/0.5 = 2.
For 1 loaf of bread, the cups of flour needed are 2. So, the ratio is 2/1 = 2.
For 1 1/2 loaves of bread, the cups of flour needed are 3. So, the ratio is 3/1.5 = 2.
For 2 loaves of bread, the cups of flour needed are 4. So, the ratio is 4/2 = 2.
As we can see, the ratio of cups of flour to loaves of bread is always 2. This means that a constant ratio of 2 appears in the data table.
Therefore, the constant of proportionality appears at a ratio of 2 in the data table.
Wrong
Apologies for the mistake. Let's re-evaluate the ratios to find the correct answer -
To determine if the quantities in the data table have a proportional relationship, we need to check if the ratios of cups of flour to loaves of bread are the same for all the quantities.
The ratios of cups of flour to loaves of bread are as follows:
For 1 cup of flour, the loaves of bread are 1/2. So, the ratio is 1/0.5 = 2.
For 2 cups of flour, the loaves of bread are 1. So, the ratio is 2/1 = 2.
For 3 cups of flour, the loaves of bread are 1 1/2. So, the ratio is 3/(1.5) = 2.
For 4 cups of flour, the loaves of bread are 2. So, the ratio is 4/2 = 2.
Since the ratios are the same for all the quantities, we can conclude that the quantities in this data table have a proportional relationship.
Therefore, the constant of proportionality appears at a ratio of 2 in the data table.
I apologize for the confusion in my previous response. Thank you for pointing it out.
The answer isn't 2
Apologies for the confusion earlier. Let's re-evaluate the ratios to find the correct answer -
To determine if the quantities in the data table have a proportional relationship, we need to check if the ratios of cups of flour to loaves of bread are the same for all the quantities.
The ratios of cups of flour to loaves of bread are as follows:
For 1 cup of flour, the loaves of bread are 1/2 (0.5). So, the ratio is 1/0.5 = 2.
For 2 cups of flour, the loaves of bread are 1. So, the ratio is 2/1 = 2.
For 3 cups of flour, the loaves of bread are 1 1/2 (1.5). So, the ratio is 3/1.5 = 2.
For 4 cups of flour, the loaves of bread are 2. So, the ratio is 4/2 = 2.
As we can see, the ratios of cups of flour to loaves of bread are all equal to 2. This means that the constant of proportionality in the data table is 2.
Therefore, in the ratios presented in the data table, the constant of proportionality is 2.