Question

the table below shows the minimum volume of water needed to fight a typical fire in rooms of various sizes. Find the rate of change. Explain the meaning of rate of change. Include the units in your answer.

Answer 1

Answer:
`\text{The rate of change is 1.56L/m}^2`Explanations:

Since the volume of water depends on the floor area, the floor area is the independent variable while the minimum water volume is the dependent variable.

Let x represents the floor area

Let y represent the miminum volume of water

The rate of change is the ration of the change in y to the change in x

Let the rate of change be represented by dy/dx

`\begin{gathered} (dy)/(dx)=\text{ }(y_2-y_1)/(x_2-x_1) \\ \end{gathered}`

Considering the first two rows of the table, since the rate of change does not differ despite the rows picked

`\begin{gathered} x_1=25,y_1=39,x_2=50,y_2=78 \\ (dy)/(dx)=\text{ }(78-39)/(50-25) \\ (dy)/(dx)=(39)/(25) \\ (dy)/(dx)=1.56 \end{gathered}`