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

C
C

D
D

B
B

A

Answer 1

The graph that shows a proportional relationship is D.

In a proportional relationship, the ratio of y to x is constant, which means that when plotted, the graph is a straight line that passes through the origin with a consistent slope. Graph D, which has a unit slope (1), meets this criterion.

Graph A, while it has a line, has a negative slope and does not represent a proportional relationship. Graph B has a positive slope but does not pass through the origin, and Graph C, while it increases, does not represent a proportional relationship because it is not a straight line through the origin.

Thus, the correct answer is D.