Question

Determine if the table shows a proportional relationship.

x 36.5 23.2 63.3
y 18.25 11.6 21.1
Yes, it is proportional because the ratios for y over x are all equivalent to one half.
Yes, it is proportional because the ratios for y over x are all equivalent to one third.
No, it is not proportional because 18.25 over 36.5 is not equal to 23.2 over 11.6.
No, it is not proportional because 18.25 over 36.5 is not equal to 21.1 over 63.3.'

Answer 1

The table does not show a proportional relationship because No, it is not proportional because 18.25 over 36.5 is not equal to 23.2 over 11.6.

Determining if the table shows a proportional relationship.

From the question, we have the following parameters that can be used in our computation:

x 36.5 23.2 63.3

y 18.25 11.6 21.1

Divide the corresponding x and y values to get the constant of proportionality (k)

So, we have

k = 18.25/36.5

k = 1/2

k = 11.6/23.2

k = 1/2

k = 21.1/63.3

k = 1/3

The constants do not all have the same value

Hence, the table does not show a proportional relationship.