Question

Write the direct variation function given that y varies directly with x, and y = 1.5 when x = 5.

Answer 1

y= 0.3x

Explanation:

Since y varies directly as x, use the direct variation equation, y = kx.

1.5 = k(5) Substitute 1.5 for y and 5 for x.

k = 0.3 Solve for k.

Write the direct variation function by using the value for k.

y = 0.3x Substitute 0.3 for k in y = kx.

Answer 2

y=0.3x

Explanation:

Formula =
`K=(y)/(x)`

y α x

y = kx

Where k is the constant of proportionality.

When y = 1.5; x = 5;

We substitute these known values in the equation,

y = kx

1.5 = k5

Dividing both sides of the equation by 5 to find the value for k, we have

1.5/5= k0.3/5

Therefore,

K = 0.3

Having found the value of k,

We substitute this value into the relationship

y = kx

Therefore we have,

y = 0.3x.

The direct variation function is therefore,

y = 0.3x.

[RevyBreeze]