in which table does y vary directly with x?

Table D

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

Table A

For x=1, y=3

Find the value of k

----->

For x=2, y=9

Find the value of k

----->

the values of k are different

therefore

The table A not represent a direct variation

Table B

For x=1, y=-5

Find the value of k

----->

For x=2, y=5

Find the value of k

----->

the values of k are different

therefore

The table B not represent a direct variation

Table C

For x=1, y=-18

Find the value of k

----->

For x=2, y=-9

Find the value of k

----->

the values of k are different

therefore

The table A not represent a direct variation

Table D

For x=1, y=4

Find the value of k

----->

For x=2, y=8

Find the value of k

----->

For x=3, y=12

Find the value of k

----->

All the values of k are equal

therefore

The table D represent a direct variation or proportional relationship

The linear equation is

easy math just plug in a and b

step-by-step explanation:

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.