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A bucket is being filled with water. The graph below shows the water height (in ) versus the time the water has been running (in seconds).Use the graph to answer the questions. The graph is a line graph. The y-axis is the height of the water in mm, and the x-axis is the time in seconds. The line is linear, which means that the height of the water increases at a constant rate. The graph shows the height of water in a bucket over time. The height of the water increases linearly with time. The rate of increase is 5 mm per second.(a)How much does the height of the water increase for each second the water is running?(b)What is the slope of the line?

Question

A bucket is being filled with water. The graph below shows the water height (in ) versus the time the water has been running (in seconds).Use the graph to answer the questions. The graph is a line graph. The y-axis is the height of the water in mm, and the x-axis is the time in seconds. The line is linear, which means that the height of the water increases at a constant rate. The graph shows the height of water in a bucket over time. The height of the water increases linearly with time. The rate of increase is 5 mm per second.(a)How much does the height of the water increase for each second the water is running?(b)What is the slope of the line?

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Solution

(a) The height of the water increases by 5 mm for each second the water is running.

(b) The slope of the line is 5 mm/second. This is because the slope of a line in a graph representing a linear relationship like this one is equal to the rate of change of the y variable (in this case, water height) with respect to the x variable (in this case, time). Since the water height increases by 5 mm for each second that passes, the slope of the line is 5 mm/second.

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