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

d

Explanation:

Answer 2

The value of constant of variation "k" is
`k = (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 * 5\\\\k = (8)/(5)\\\\k = 1.6`

Thus the value of constant of variation "k" is
`k = (8)/(5) \text{ or } 1.6`