Suppose y varies directly
with x, and y = 24 when x
=8. What is the value of y when x= 10?
If y varies directly with x, it means that there is a constant ratio between y and x. We can express this relationship using the formula: y = kx, where k is the constant of variation.
Given that y = 24 when x = 8, we can substitute these values into the equation to solve for k:
24 = k(8)
Dividing both sides by 8:
k = 3
Now that we have the value of k, we can use it to find y when x = 10:
y = kx
y = 3(10)
y = 30
Therefore, when x = 10, y is equal to 30.