Answer:
Please check the explanation.
Step-by-step explanation:
5)
We know that rate of change is basically the slope.
Given the points
The slope between the points (-3, 5) and (-3, 3)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-3,\:5\right),\:\left(x_2,\:y_2\right)=\left(-3,\:3\right)[/tex]
[tex]m=\frac{3-5}{-3-\left(-3\right)}[/tex]
[tex]m=\frac{3-5}{-3+3}[/tex]
[tex]m=\frac{-2}{0}[/tex]
[tex]m=\infty[/tex]
Thus,
Rate of change = m = ∞
6)
We know that rate of change is basically the slope.
Let us take any two points from the given table
The slope between the points (-4, 5) and (-8, 8)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-4,\:5\right),\:\left(x_2,\:y_2\right)=\left(-8,\:8\right)[/tex]
[tex]m=\frac{8-5}{-8-\left(-4\right)}[/tex]
[tex]m=-\frac{3}{4}[/tex]
Thus,
[tex]m=-\frac{3}{4}[/tex]
