Determine if the table shows a proportional relationship.
x 25.6 72.8 77.2
y 6.4 18.2 19.3
Yes, it is proportional because all y over x ratios are equivalent to one fourth.
Yes, it is proportional because all y over x ratios are equivalent to one third.
No, it is not proportional because 25.6 over 6.4 does not equal 18.2 over 72.8.
No, it is not proportional because 18.2 over 72.8 does not equal 77.2 over 19.3.
A; y = 1/4 x
Thank you
No, it is not proportional because 25.6 over 6.4 does not equal 18.2 over 72.8.
To determine if the table shows a proportional relationship, you need to check if the ratios of y over x in the table are equivalent for each pair of values.
Let's calculate the ratios for each pair of values:
For the first pair (25.6, 6.4), the ratio is 6.4/25.6 = 0.25
For the second pair (72.8, 18.2), the ratio is 18.2/72.8 ≈ 0.25
For the third pair (77.2, 19.3), the ratio is 19.3/77.2 ≈ 0.25
Since all the ratios are approximately equal to 0.25, or one fourth, the table does show a proportional relationship.
Therefore, the correct answer is: Yes, it is proportional because all y over x ratios are equivalent to one fourth.