suppose y varies directly with x, and y = 24 when x = 8. what is the value of y when x = 10

Answer 1

If y varies directly with x, we can write the equation as y = kx, where k is the constant of variation.

To find the value of k, we can use the given information: when x = 8, y = 24.

Substituting these values into the equation, we have:
24 = k(8).

Now, solving for k:
24/8 = k
k = 3.

So, the equation is y = 3x.

To find the value of y when x = 10, we can substitute x = 10 into the equation:
y = 3(10).
y = 30.

Therefore, when x = 10, y = 30.