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djverab [1.8K]
3 years ago
7

Find the constant of variation k for the direct variation. x f ( x ) 0 0 2 –1 4 –2 7 –3.5 k = 0.5 k = –2 k = –0.5 k = 0

Mathematics
1 answer:
Furkat [3]3 years ago
7 0

Answer:

Option C is correct.

Constant of variation k = -0.5

Step-by-step explanation:

The direct variation says that:

y \propto x

then, the equation is of the form: y =kx .....[1] where k is the constant of variation.

Given the table:

x       f(x)=y

0        0

2        -1

4         -2

7         -3.5

Consider any values from the tables

x = 4 and y=f(x) = -2

Substitute these values in equation [1] we have;

-2 = 4k

Divide both sides by 4 we get;

k = -\frac{2}{4} = -0.5

Therefore, the constant of variation is, -0.5                

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