Answer:
[tex]y = \frac{4}{3}x[/tex]
Step-by-step explanation:
Given:
Variation: Direct Variation.
This can be represented as:
[tex]y\ \alpha\ x[/tex]
[tex]y = 16; x = 12[/tex]
Required
Write out the equation
First, the variation has to be converted to an equation
[tex]y\ \alpha\ x[/tex]
[tex]y = kx[/tex]
Where k represents constant of variation.
Substitute 16 for y and 12 for x
[tex]16 = k * 12[/tex]
Solve for k
[tex]k = \frac{16}{12}[/tex]
[tex]k = \frac{4}{3}[/tex]
To get the equation, we simply substitute 4/3 for k in [tex]y = kx[/tex]
[tex]y = \frac{4}{3}x[/tex]
