Mathematics: What is the rate of change for the following? (4,5) (2, 15)

What is the rate of change for the following? (4,5)

Chad5978

10.02.2022

-5

Step-by-step explanation:

Given these two points, we can just plug them into the slope formula.

$Slope=\frac{y_2-y_1}{x_2-x_1}$

$\frac{15-5}{2-4}\\\\\frac{10}{-2} \\\\-5$

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angelinagiraffp538zb

01.03.2021

The scale factor is 3.

Step-by-step explanation:

Since,

$\text{Scale factor}= \frac{\text{scaled measure}}{\text{actual measure}}$

∵ If sides of a polygon are changed by a scale factor 'a' then its perimeter is also changed by the same scale factor,

$\implies \text{Scale factor}=\frac{\text{scaled perimeter}}{\text{Actual perimeter}}$

By the given drawing,

The actual perimeter of the polygon = 10 unit,

Also, the scaled perimeter = 30 units ( given )

Hence,

$\text{Scale factor}=\frac{30}{10}=3$

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