Time. Water used
1. 5
2. 10
3. 15
7. 35
10. 50
Determine if the quantities in the data table are in a proportional relationship. If they do not have a proportional relationship indicate why.
A. No, the ratio 7:35 is not proportional to the other ratios
B. Yes, the data table has a proportional y
C. No, the ratios are not equivalent
D. No, the table does not count consecutively
C. No, the ratios are not equivalent.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios of time to water used are equal for all entries in the table. Let's calculate the ratios for each entry:
For entry 1: 1:5 = 1/5
For entry 2: 2:10 = 2/10 = 1/5
For entry 3: 3:15 = 3/15 = 1/5
For entry 7: 7:35 = 7/35 = 1/5 (same ratio as earlier entries)
For entry 10: 10:50 = 10/50 = 1/5 (same ratio as earlier entries)
As the ratios are the same for all entries, we can conclude that the quantities in the data table are in a proportional relationship. Therefore, the answer is B. Yes, the data table has a proportional relationship.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratio between the values remains the same for each set of numbers. In other words, we need to see if the ratio of "Water used" to "Time" is constant.
Let's calculate the ratio for each set of numbers:
For the first set of numbers:
Ratio = Water used / Time = 5 / 1 = 5
For the second set of numbers:
Ratio = Water used / Time = 10 / 2 = 5
For the third set of numbers:
Ratio = Water used / Time = 15 / 3 = 5
For the fourth set of numbers:
Ratio = Water used / Time = 35 / 7 = 5
For the fifth set of numbers:
Ratio = Water used / Time = 50 / 10 = 5
As we can see, the ratio of "Water used" to "Time" is consistently 5 for each set of numbers. Therefore, the quantities in the data table are in a proportional relationship.
Therefore, the correct answer is:
B. Yes, the data table has a proportional relationship.