Use the image to answer the question.

Question

A figure shows four graphs labeled A, B, C, and D, each with an x and y axis and 0 at the origin, and each showing a curve. Graph A shows a straight line with a negative slope having x and y intercepts. Graph B shows a straight line with a positive slope having a y intercept above origin. Graph C shows an increasing concave up curve initiating at the origin. Graph D shows a straight line with a unit slope.

Decide which graph shows a proportional relationship.

(1 point)
Responses

B
B

D
D

C
C

A

Answer 1

The graph that shows a proportional relationship is D.

In a proportional relationship, the relationship between the two variables can be represented by a straight line passing through the origin, which corresponds to a constant ratio of y to x. Graph D shows a straight line with a unit slope (slope of 1), indicating that y increases directly with x, maintaining a constant ratio (y = x). Graphs A and B do not pass through the origin, and Graph C, while showing an increasing curve, is not linear and thus does not represent a proportional relationship.