Carlos and Ethan noticed that both proportional relationships and linear functions form a straight line when graphed. Carlos cla
ims that all linear functions are also proportional relationships. Ethan disagreed and tells Carlos that he has it backwards, that all proportional relationships are linear functions. Which statement accurately compares their observations? A) Carlos is correct because all linear functions go through the origin.
B) Ethan is correct because all proportional relationships form a straight line and go through the origin and linear functions are linear, but they don’t all go through the origin so they are not always proportional.
C) Carlos is incorrect because no proportional relationships are linear.
D) Both Carlos and Ethan are incorrect, no proportional relationships are nonlinear.
B. Ethan is correct because all proportional relationships form a straight line and go through the origin and linear functions are linear, but they don’t all go through the origin so they are not always proportional.
Step-by-step explanation:
So a proportional relationship is just a special kind of linear relationship, i.e., all proportional relationships are linear relationships (although not all linear relationships are proportional).
Explanation: It’s pretty simple actually, you just need to get the square root of 900 by seeing what two equal numbers give you 900. The answer in this scenario would be 30 since 30x30 would give you 900. Since it is a square all sides are equal and your answer would only be 30. Hope this helped you :)
