Question

What is the constant of variation, k, of the direct variation, y = kx, through (5, 8)? k = – k equals negative StartFraction 8 Over 5 EndFraction. k = – k equals negative StartFraction 5 Over 8 EndFraction. k = k equals StartFraction 5 Over 8 EndFraction. k = k equals StartFraction 8 Over 5 EndFraction.

Answer 1

The value of constant of variation "k" is $k = \frac{8}{5} \text{ or } 1.6$

Solution:

Given that the direct variation is:

y = kx ----- eqn 1

Where "k" is the constant of variation

Given that the point is (5, 8)

To find the value of "k" , substitute (x, y) = (5, 8) in eqn 1

$8 = k \times 5\\\\k = \frac{8}{5}\\\\k = 1.6$

Thus the value of constant of variation "k" is $k = \frac{8}{5} \text{ or } 1.6$

Answer 2

Answer:

c)  k = 5/8

Step-by-step explanation:

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