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.

Question

Decide which graph shows a proportional relationship.

(1 point)
Responses

C
C

A
A

D
D

B

Answer 1

A proportional relationship is represented by a straight line that passes through the origin (0,0) and has a constant ratio between the variables. In the context of the graphs you described:

• Graph A: Straight line with a negative slope, does not pass through the origin.
• Graph B: Straight line with a positive slope, does not pass through the origin.
• Graph C: Increasing concave up curve, does not represent a linear relationship.
• Graph D: Straight line with a unit slope, passes through the origin.

The graph that shows a proportional relationship is:

D