Graphs of Proportional Relationships Practice

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Question
Use the image to answer the question.

A graph with an x-axis representing time in minutes ranges from 0 to 4.5 in increments of 0.5. The y-axis representing distance in feet ranges from 0 to 9 in unit increments. A line is labeled speed of a sloth. The line passes through the following points: left parenthesis 0 comma 0 right parenthesis; left parenthesis 0.5 comma 3 right parenthesis; left parenthesis 1 comma 6 right parenthesis; and left parenthesis 1.5 comma 9 right parenthesis.

Identify the distance a sloth travels per minute.

(1 point)
ft. per minute

1 answer

The distance a sloth travels per minute can be determined by looking at the slope or steepness of the line on the graph. In this case, the line passes through the points (0,0), (0.5,3), (1,6), and (1.5,9).

To find the slope, we can use the formula:
slope = (change in y) / (change in x)

Using the first two points, we can calculate the slope:
slope = (3-0) / (0.5-0) = 3 / 0.5 = 6

This means that for every 0.5 minutes, the sloth travels 3 feet.

Therefore, the distance a sloth travels per minute is:
6 ft. per minute