The graph represents the distance in miles, y.that a boy walked in x hours. What is the unit rate at which the boy walked? A. 0.5 miles per hour B. 1 mile per hour C. 2.5 miles per hour D. 5 miles per hour E. 10 miles per hour

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The graph represents the distance in miles, y.that a boy walked in x hours. What is the unit rate at which the boy walked? A. 0.5 miles per hour B. 1 mile per hour C. 2.5 miles per hour D. 5 miles per hour E. 10 miles per hour

Answer 1

To find the unit rate at which the boy walked, we need to determine the slope of the line on the graph. The slope of a line is the ratio of the change in the vertical direction (rise) to the change in the horizontal direction (run). In this case, the vertical direction represents distance in miles, and the horizontal direction represents time in hours.From the picture details, we know that the line passes through the points (0,0) and (4,10).Step 1: Calculate the change in distance (rise).Change in distance = distance at 4 hours - distance at 0 hoursChange in distance = 10 miles - 0 milesChange in distance = 10 milesStep 2: Calculate the change in time (run).Change in time = time at 4 hours - time at 0 hoursChange in time = 4 hours - 0 hoursChange in time = 4 hoursStep 3: Calculate the slope (unit rate).Slope (unit rate) = Change in distance / Change in timeSlope (unit rate) = 10 miles / 4 hoursStep 4: Simplify the fraction to find the unit rate.Slope (unit rate) = 10/4 miles per hourSlope (unit rate) = 2.5 miles per hourThe unit rate at which the boy walked is 2.5 miles per hour.Final Answer: C. 2.5 miles per hour

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The graph represents the distance in miles, y.that a boy walked in x hours. What is the unit rate at which the boy walked? A. 0.5 miles per hour B. 1 mile per hour C. 2.5 miles per hour D. 5 miles per hour E. 10 miles per hour

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