Question

Select all of the pieces of information that would tell you x and y have a proportional relationship. Let y represent the distance between a rock and a turtle's current position in meters and x represent the number of minutes the turtle has been moving. y=3x After 4 minutes, the turtle has walked 12 feet away from the rock. The turtle walks for a bit, then stops for a minute before walking again. The turtle walks away from the rock at a constant rate.

Answer 1

y=3x

The turtle walks away from the rock at a constant rate.

Explanation:

A proportional relationship is one in which the two variables vary directly with each other and can be represented by the equation:

y = kx, where k is the constant of proportionality.

Also, a proportional relationship has a constant rate which is the ratio of the two variables.

A) The equation y = 3x is a proportional relationship because it is in the form y = kx, k =3

B) After 4 minutes, the turtle has walked 12 feet away from the rock.

We cant say that this is a proportional relationship because it may or may not be proportional.

C) The turtle walks for a bit, then stops for a minute before walking again.

It is not proportional

D) The turtle walks away from the rock at a constant rate

This is a proportional relationship because it has a constant rate