Does the table below represent a proportional relationship
x 1 2 3 4 y 3 6 9 12
A. No because all numbers are positive
B.yes because all ratios of y to x are equal to 2
C.No because all ratios of y to x are not equal
D. Yes because all ratios of y to x are equal to 3
B. Yes because all ratios of y to x are equal to 2
To determine if the table represents a proportional relationship, we need to check if the ratios of y to x are equal throughout the table. Let's calculate the ratios for each pair:
For x = 1, y = 3, so the ratio of y to x is 3/1 = 3.
For x = 2, y = 6, so the ratio of y to x is 6/2 = 3.
For x = 3, y = 9, so the ratio of y to x is 9/3 = 3.
For x = 4, y = 12, so the ratio of y to x is 12/4 = 3.
Since all the ratios of y to x are equal to 3, the answer is: D. Yes because all ratios of y to x are equal to 3.
To determine if the table represents a proportional relationship, we need to check if the ratios of y to x are equal for all values in the table.
To find the ratio for each pair of values, we divide y by x:
For the first pair (x=1, y=3): 3/1 = 3
For the second pair (x=2, y=6): 6/2 = 3
For the third pair (x=3, y=9): 9/3 = 3
For the fourth pair (x=4, y=12): 12/4 = 3
Since all the ratios are equal to 3, we can conclude that the table represents a proportional relationship.
The correct answer is D. Yes, because all ratios of y to x are equal to 3.