Question

What is the constant of variation, k, of the direct variation, y = kx, through (5, 8)? k = -8/5 k= - 5/8 k= 5/8 k= 8/5

Answer 1

y = kx
y/x = k......(5,8)....x = 5 and y = 8
8/5 = k

Answer 2

The constant of direct variation is
`k=(8)/(5)`

Step-by-step explanation

Since the equation goes through the point
`(5,8)`, it must satidfy its equation.

We therefore, substitute the point
`(5,8)`, in to the equation and solve for
`k`.

`y=kx`

This implies that;

`8=5k`

`\Rightarrow (8)/(5)=k`

Therefore the constant of direct variation is
`k=(8)/(5)`

Hence the correct answer is D.