Use the image to answer the question.

Question

A graph with the x-axis representing time in minutes ranging from 0 to 10 in increments of 1, and the y-axis representing levels passed ranging from 0 to 10 in increments of 1 shows three lines labeled 1, 2 and 3.

Three friends are playing video games. The graph shows the number of levels passed based on amount of time played. Which friend’s graph (1, 2, or 3) is a proportional relationship?

(1 point)

Answer 1

A proportional relationship is characterized by a constant ratio between the two quantities. In the context of the graph you've described, we need to look for a line that passes through the origin (0,0) and shows steady increases in levels passed as time increases without any jumps or flat sections.

If we analyze the lines:

• If line 1, line 2, or line 3 consistently increases at a steady rate (for example, if it increases 1 level passed for every additional minute consistently) and goes through the origin, that would indicate a proportional relationship.

Based on your description, determine which line maintains a constant slope without any breaks, jumps, or changes in the rate of levels passed per time unit. The line that meets these criteria is the one depicting a proportional relationship.

Without the specific details of the graph, I cannot definitively say which line is proportional, but this should guide you in making your decision based on the graph characteristics. Look for the line that is straight and passes through the origin.