Question

+) Select all the choices that represent a proportional relationship. Lety represent the distance in meters between a rock and a turtle's current position and represent the time in minutes the turtle has been moving. a) y = 32 b) After 4 minutes, the turtle has walked 12 feet away from the rock. c) The turtle walks for a bit, then stops for a minute before walking again. d) The turtle walks away from the rock at a constant rate.

Answer 1

Proportional relationship means there is a constant value between two variables and can be expressed as a line.

a. y = 3x

Since this is an equation of the line, it represents a proportional relationship.

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

This can represent a point in the line with 4 minutes and 12 feet (4, 12), it represents a proportional relationship.

c. The turtle stops for a minute, a line is a continuous straight line, so this will NOT represents a proportional relationship.

d. The turtle walks away at a constant rate, a line has a constant rate called slope. Therefore, it represents a proportional relationship

Answer :

a, b and d.