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
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The distance a sloth travels per minute can be determined by finding the slope of the line that connects the points (0,0) and (1.5,9).
Using the slope formula:
slope = (change in y)/(change in x)
change in y = 9 - 0 = 9
change in x = 1.5 - 0 = 1.5
slope = 9/1.5 = 6
Therefore, the sloth travels 6 feet per minute.
To identify the distance a sloth travels per minute, we can use the graph provided. The graph shows the relationship between time (on the x-axis) and distance (on the y-axis). We can see that the line representing the speed of the sloth passes through the points (0,0), (0.5,3), (1,6), and (1.5,9).
To find the distance traveled per minute, we need to calculate the slope of the line between any two points. We can choose any two consecutive points on the line.
Let's take the points (0,0) and (0.5,3). The change in distance is 3 - 0 = 3 ft, and the change in time is 0.5 - 0 = 0.5 minutes.
To find the distance per minute, we divide the change in distance by the change in time:
Distance per Minute = Change in Distance / Change in Time = 3 ft / 0.5 min = 6 ft/min
Therefore, the distance a sloth travels per minute is 6 ft/min.
To find the distance a sloth travels per minute, we need to determine the slope of the line that represents the sloth's speed on the graph.
The slope of a line represents the change in y (distance) divided by the change in x (time). In this case, we can use the points (0,0) and (1,6) to calculate the slope.
Change in y = 6 - 0 = 6
Change in x = 1 - 0 = 1
Therefore, the slope of the line is 6/1 = 6.
The slope represents the rate of change, so the distance a sloth travels per minute is 6 ft. per minute.