micawalk4530
Answered

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Given the following set of ordered pairs, determine if it is direct or inverse variation and find the value of k. (2, -10) (4, -20) (7, -35) (8, -40)

Sagot :

Answer:

direct variation

Step-by-step explanation:

The constant of variation k for direct variation is

k = [tex]\frac{y}{x}[/tex]

Calculate this ratio for each set of points

[tex]\frac{-10}{2}[/tex] = [tex]\frac{-20}{4}[/tex] = [tex]\frac{-35}{7}[/tex] = [tex]\frac{-40}{8}[/tex] = - 5

Then ordered pairs are in direct variation with k = - 5

The constant of variation for inverse variation is

k = xy

2 × - 10 = - 20

4 × - 20 = - 80

7 × - 35 = - 245

8 × - 40 = - 320

There is no constant thus not inverse variation

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