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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.

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 O class=

Sagot :

Answer:[tex]\text{The rate of change is 1.56L/m}^2[/tex]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

[tex]\begin{gathered} \frac{dy}{dx}=\text{ }\frac{y_2-y_1}{x_2-x_1} \\ \end{gathered}[/tex]

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

[tex]\begin{gathered} x_1=25,y_1=39,x_2=50,y_2=78 \\ \frac{dy}{dx}=\text{ }\frac{78-39}{50-25} \\ \frac{dy}{dx}=\frac{39}{25} \\ \frac{dy}{dx}=1.56 \end{gathered}[/tex]