Which table shows a proportional relationship between x and y? a. x 3 6 8 10 y 12 15 18 20 b. x 1 2 7 8 y 0.5 1 3.5 4 c. x 3 7.5 15 20 y 1 2.5 4 6 d. x 2 3 4 5 y 7 9 11 13

B

Step-by-step explanation:

A proportional relationship is a relationship which crosses through the origin (0,0) and which has a proportional constant. We can determine this either by finding (0,0) where x=0 and y=0 in the table or by dividing y/x. None of the tables contain (0,0) so we will divide y by x. We are looking for a table which when each y is divided by its x we have the same constant appearing.

Table A

These fractions are not equal. This is not proportional.

Table B

These fractions are equal and each shows the numerator to be half of the denominator. This is proportional.

Table C

These fractions are not equal. This is not proportional.

Table D

These fractions are not equal. This is not proportional.

true

step-by-step explanation: