Question

The table shows how much water was in a swimming pool as it was being filled. if you were to use the data to male a graph, what is the slope of the line

Answer 1

To find the slope of the line that passes through the points given in the table, you can use the slope formula, that is:

`\begin{gathered} m=(y_(2)-y_(1))/(x_(2)-x_(1)) \\ \text{ Where m is the slope of the line and} \\ (x_1,y_1)\text{ and }(x_2,y_2)\text{ are two points through which the line passes} \end{gathered}`

In this case, the variable x corresponds to the time in minutes and the variable y corresponds to the amount of water in the swimming pool as time passes.

Then, you can use any two ordered pairs in the table to find the slope of the line.

If for example, you take the ordered pairs (10,40) and (16,64), you have:

`\begin{gathered} (x_1,y_1)=(10,40) \\ (x_2,y_2)=(16,64) \end{gathered}`
`\begin{gathered} m=(y_(2)-y_(1))/(x_(2)-x_(1)) \\ m=(64-40)/(16-10) \\ m=(24)/(6) \\ m=4 \end{gathered}`

Therefore, the slope of the is 4 and the correct answer is c) 4.