Which situation represents a proportional relationship?
a) julie sold 4 necklaces for $12 and 9 necklaces for $25.
b) jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.
c) larry packed 24 apples in 6 boxes and 46 apples in 9 boxes.
d) allie put 14 pieces of candy in 2 bags and 30 pieces of candy in 4 bags.

B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.

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

The ratio between the two variables is a constant called constant of proportionality k

Verify each case

A) Julie sold 4 necklaces for $12 and 9 necklaces for $25.

Multiply in cross

Is not true

therefore

The situation not represent a proportional relationship

B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.

Multiply in cross

Is true

therefore

The situation represent a proportional relationship

C) Larry packed 24 apples in 6 boxes and 46 apples in 9 boxes

Multiply in cross

Is not true

therefore

The situation not represent a proportional relationship

D) Allie put 14 pieces of candy in 2 bags and 30 pieces of candy in 4 bags

Multiply in cross

Is not true

therefore

The situation not represent a proportional relationship

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step-by-step explanation:

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step-by-step explanation: