The distance, in feet, two boys travel per second on a treadmill is shown on the graph. Which comparison is accurate?ResponsesThe difference in their rates of change is 1 foot per second.The difference in their rates of change is 1 foot per second.Moises is going faster than Xavier.Moises is going faster than Xavier.Xavier is traveling at 1.5 feet per second.Xavier is traveling at 1 point 5 feet per second.If both boys remain on the treadmill for 10 minutes, Xavier will have traveled a greater distance.If both boys remain on the treadmill for 10 minutes, Xavier will have traveled a greater distance.
Question
The distance, in feet, two boys travel per second on a treadmill is shown on the graph. Which comparison is accurate?ResponsesThe difference in their rates of change is 1 foot per second.The difference in their rates of change is 1 foot per second.Moises is going faster than Xavier.Moises is going faster than Xavier.Xavier is traveling at 1.5 feet per second.Xavier is traveling at 1 point 5 feet per second.If both boys remain on the treadmill for 10 minutes, Xavier will have traveled a greater distance.If both boys remain on the treadmill for 10 minutes, Xavier will have traveled a greater distance.
Solution
Without the graph, it's impossible to accurately answer this question. However, I can explain how you might determine the answers based on a graph:
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To find the difference in their rates of change, you would need to subtract the slope (rate of change) of one boy's line on the graph from the other's. If the difference is 1 foot per second, then that statement is accurate.
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To determine who is going faster, you would need to compare the slopes of their lines on the graph. The steeper line indicates a faster speed. If Moises' line is steeper, then he is going faster than Xavier.
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To determine Xavier's speed, you would need to find the slope of his line on the graph. If the slope is 1.5, then Xavier is traveling at 1.5 feet per second.
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To determine who will have traveled a greater distance after 10 minutes, you would need to multiply each boy's rate (slope of the line) by the time (10 minutes, converted to seconds since the rate is in feet per second). The boy with the larger result will have traveled a greater distance. If Xavier's result is larger, then he will have traveled a greater distance.
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