Use the image to answer the question.

An illustration of a coordinate grid. The x-axis ranges from 0 to 3 in increments of 0.5. The y-axis ranges from 0 to 100 in increments of 10. Six unlabeled points are plotted and joined by a line. The six points are plotted at coordinates left parenthesis 0 comma 0 right parenthesis, left parenthesis 0.5 comma 20 right parenthesis, left parenthesis 1 comma 40 right parenthesis, left parenthesis 1.5 comma 60 right parenthesis, left parenthesis 2 comma 80 right parenthesis, and left parenthesis 2.5 comma 100 right parenthesis. An upward slanting solid line with an arrow on the right end connects all the points.

Determine the slope of the proportional relationship shown in the graph.

(1 point)
The slope is
.
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3 answers

The slope of the proportional relationship shown in the graph is 20.
nope
Apologies for the incorrect answer.

To determine the slope of the proportional relationship shown in the graph, we need to calculate the change in y divided by the change in x.

Starting from the first point (0, 0), the change in y is 20 (from 0 to 20) and the change in x is 0.5 (from 0 to 0.5).

So, the slope can be calculated as:

slope = change in y / change in x = 20 / 0.5

= 40

Therefore, the slope of the proportional relationship shown in the graph is 40.
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