Question:
Mr.sheng is using a faucet attachment to fill the fish tank in his biology classroom. The graph below shows the amount of water In the tank during the first several minutes since he turned on the faucet. What is the slope of a line joining the points on the graph? If your answer is not an integer. Express it as a decimal.
Solution:
By definition, the slope of a line is given by the following formula:
[tex]m\text{ = }\frac{Y2-Y1}{X2-X1}[/tex]
Where (X1,Y1) and (X2,Y2) are any two points on the line. In this case, we can take the following points:
(X1,Y1) = (2,16)
(X2,Y2) = (6,48)
now, replace these points in the slope-equation:
[tex]m\text{ = }\frac{48-16}{6-2}\text{ = }\frac{32}{4}\text{ = 8}[/tex]
that is:
[tex]m\text{ = 8}[/tex]
so that, we can conclude that the correct answer is:
[tex]m\text{ = 8}[/tex]
