Question

m3|l2 graphs of proportional relationships
elapsed time in hours, x | rainfall in inches, y
2 ×0.2 0.4
(graph: x-axis elapsed time (hours) from 0 to 5, y-axis rainfall (inches) from 0 to 1.2, line through (0,0) and (2,0.4) with a dot at (2,0.4))

Explanation:

Step1: Identify the relationship

From the table, when \( x = 2 \) hours, \( y = 0.4 \) inches. The relationship is \( y=0.2x \) (since \( 2\times0.2 = 0.4 \)).

Step2: Analyze the graph

The graph is a straight line through the origin, confirming a proportional relationship \( y = kx \), where \( k = 0.2 \). The point at \( x = 2 \) should have \( y = 0.4 \), which matches the blue dot on the graph (at \( x = 2 \), \( y = 0.4 \)).

Answer:

The graph correctly represents the proportional relationship \( y = 0.2x \) between elapsed time (x) and rainfall (y), with the point (2, 0.4) plotted accurately.