Question

HELP PLEASE ON THIS PROBLEM! LOT OF POINTS!!!!

Select all the proportional relationships.



Multiple select question.

A)
(Picture Below)

B) A train is traveling at a constant speed of 60 miles per hour. The number of hours the train has been traveling is t. The number of miles the train has traveled is d.


C)
The relationship is represented by this table:
(Picture Below)




D) y=3x , where x and y are both positive numbers.


E) y=1x

Answer 1

A, C, D, and E

Explanation:

They all have a constant rate.

Answer 2

The options that represent proportional relationships are:

B, D and E

How to Identify a Proportional Relationship?

A proportional relationship is a relationship between two variables where, when one variable changes, increases, or decreases, the other variable changes at a constant rate. In a proportional relationship, the ratio between the two variables remains the same.

A) When x = 0, y = 1

When x = 0.5, y = 3

When x = 1, y = 4

This does not represent a proportional relationship as the rate of change is not constant.

B) A train is traveling at a constant speed of 60 miles per hour. This is a proportional relationship as the rate of change is constant.

C) When x = 3, y = 6

When x = 4, y = 12

When x = 5, y = 12

The rate of change of y is not constant and as such it is not a proportional relationship

D) y=3x , where x and y are both positive numbers.

This is a proportional relationship as the rate of change is constant.

E) y=1x

This is a proportional relationship as the rate of change is constant.