Question

If y is directly proportional to x and y is 12 when x = 10, what is the constant of variation?

Answer 1

Answer:
constant of variation = 1.2

Explanation:
y varies directly with x means that as x increases, y increases and vice versa.
This can be translated into the following equation:
y = kx 
where k is the constant of pvariation.

We are given that:
y = 12 when x = 10.
Therefore, we will substitute with these values in the above equation and solve for k as follows:
y = kx
12 = k * 10
k = 12 / 10
k = 1.2

This means that the equation relating x and y is:
y = 1.2x
where 1.2 is the constant of variation.

Hope this helps :)