Graphs of Proportional Relationships Practice
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Question
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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
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
To identify the distance a sloth travels per minute, we can look at the slope of the line on the graph.
The slope of a line represents the rate of change, which in this case, corresponds to the speed of the sloth.
Using the points given on the graph, we can calculate the slope:
Slope = (change in y)/(change in x)
We can select any two points on the line to calculate the slope. Let's choose the points (0,0) and (1,6).
Change in y = 6 - 0 = 6
Change in x = 1 - 0 = 1
Slope = 6/1 = 6
Therefore, the sloth travels 6 feet per minute.
To find the distance a sloth travels per minute, we need to determine the slope of the line representing the speed of the sloth on the graph.
The slope of a line is calculated as the change in y-coordinates divided by the change in x-coordinates. In other words, it is the vertical change divided by the horizontal change.
Looking at the given points, we can see that the initial point is (0,0) and the next point is (0.5,3).
So, the change in y-coordinates is 3 - 0 = 3, and the change in x-coordinates is 0.5 - 0 = 0.5.
Therefore, the slope of the line, which represents the distance the sloth travels per minute, is 3/0.5 = 6.
Hence, the distance a sloth travels per minute is 6 ft.