Does the data in this table represent a proportional relationship?
time(min)
1.
2.
3.
7.
10.
water used(gal)
5.
10.
15.
35.
50.
A.Yes, the table represents a proportional relationship because the ratios of all data points are equivalent.
B.Yes, the table represents a proportional relationship because the unit rate is 1.
C.No, there is no unit rate for gallons of water used.
D.No, the unit rate is not equivalent to the other ratios.
D.No, the unit rate is not equivalent to the other ratios.
explain bot?
In a proportional relationship, the ratios of the data points should be equivalent. To determine if the data in the table represents a proportional relationship, we need to check if the ratios of water used to time (in minutes) are equivalent.
Let's calculate the ratios for each data point:
For the first data point (1 min, 5 gal), the ratio is 5/1 = 5.
For the second data point (2 min, 10 gal), the ratio is 10/2 = 5.
For the third data point (3 min, 15 gal), the ratio is 15/3 = 5.
For the fourth data point (7 min, 35 gal), the ratio is 35/7 = 5.
For the fifth data point (10 min, 50 gal), the ratio is 50/10 = 5.
As we can see, all the ratios are equal to 5. Therefore, the data points in the table do represent a proportional relationship, and the correct answer is A.
To determine whether the data in the table represents a proportional relationship, we need to check if the ratios between the time in minutes and the amount of water used in gallons are equivalent.
To calculate the ratios, we need to divide the amount of water used by the corresponding time. Let's calculate the ratios for each data point:
1. For the first data point: 5/1 = 5
2. For the second data point: 10/2 = 5
3. For the third data point: 15/3 = 5
4. For the fourth data point: 35/7 = 5
5. For the fifth data point: 50/10 = 5
As we can see, all the ratios are equal to 5. This means that the ratios between time and amount of water used are equivalent.
Therefore, the correct answer is A. Yes, the table represents a proportional relationship because the ratios of all data points are equivalent.