Suppose y varies directly with x, and y=24 when x=8. What is the value of y when x=10?
To find the value of y when x=10, we need to find the constant of variation that relates y to x.
Since y varies directly with x, we know that the equation of variation is in the form y = kx, where k is the constant of variation.
To find the value of k, we can use the given information that y=24 when x=8.
Plugging the values into the equation, we get 24 = k * 8.
Now, we can solve for k by dividing both sides of the equation by 8: k = 24/8 = 3.
So, the equation of variation is y = 3x.
To find the value of y when x=10, we can substitute x=10 into the equation: y = 3 * 10 = 30.
Therefore, when x=10, y=30.