Question

Find the rate of change

Answer 1

Please check the explanation.

Explanation:

5)

We know that rate of change is basically the slope.

Given the points

• (-3, 5)

• (-3, 3)

The slope between the points (-3, 5) and (-3, 3)

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(-3,\:5\right),\:\left(x_2,\:y_2\right)=\left(-3,\:3\right)`

`m=(3-5)/(-3-\left(-3\right))`

`m=(3-5)/(-3+3)`

`m=(-2)/(0)`

`m=\infty`

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

• (-4, 5)

• (-8, 8)

The slope between the points (-4, 5) and (-8, 8)

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(-4,\:5\right),\:\left(x_2,\:y_2\right)=\left(-8,\:8\right)`

`m=(8-5)/(-8-\left(-4\right))`

`m=-(3)/(4)`

Thus,

`m=-(3)/(4)`