Question

A bucket is being filled with water. The graph below shows the water height (in mm) versus the time the water has been running (in seconds).Use the graph to answer the questions.(a)How much does the height of the water increase for each second the water is running?mm(b)What is the slope of the line?

Answer 1

a) To find the change of the height of the water for each second the water is running you find the vertical change for 1 unit horizontal change.

You can see that in 1 second (horizontal change) the change in the height is 4mm (vertical change)

Answer: 4mm

b) To find the slope of a line you use the next formula:

`\begin{gathered} m=(\Delta y)/(\Delta x)=(\Delta vertical)/(\Delta horizontal) \\ \\ m=(4)/(1)=4 \end{gathered}`

Then, the slope of the line is 4