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.

366

step-by-step explanation:

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)