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.
3 answers
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.
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.