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 the ratios of y to x equal 2
C. No because all the ratios of y to x are not equal
D.yes because all the ratios of y to x are equal to 3
B. Yes because all the ratios of y to x equal 2
To determine if the table represents a proportional relationship, we need to check if the ratios between y and x are consistent.
Let's calculate the ratios:
For x = 1, y = 3. The ratio is 3/1 = 3.
For x = 2, y = 6. The ratio is 6/2 = 3.
For x = 3, y = 9. The ratio is 9/3 = 3.
For x = 4, y = 12. The ratio is 12/4 = 3.
As we can see, all the ratios of y to x are equal to 3. So, the correct answer is:
D. Yes because all the 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 of x and y.
Let's calculate the ratios of y to x for each pair of corresponding values:
For x = 1, y = 3, the ratio of y to x is 3/1 = 3.
For x = 2, y = 6, the ratio of y to x is 6/2 = 3.
For x = 3, y = 9, the ratio of y to x is 9/3 = 3.
For x = 4, y = 12, the ratio of y to x is 12/4 = 3.
As we can see, all the ratios are equal to 3. Therefore, the correct answer is D. Yes, because all the ratios of y to x are equal to 3.