direct variables

Question

if x varies directly with y, and x=12 when y=3 what is x when y=8 ?

Answer 1

When x varies directly with y, it can be expressed with the equation:

x=k⋅y,

where k is the constant of proportionality.

Given that x=12 when y=3, we can find k:

12= k⋅3

Solving for k: k=12/3=4

Now, we have the equation: x=4y

To find x when y=8

x=4⋅8=32

Thus, when y=8, x is 32.