Suppose y varies directly with x and y = 24 when x =8. What is the value of y when x = 10?
3.33
never mind... It would be 30??? I think
thank you
y=30
To find the value of y when x = 10, we can use the concept of direct variation. In direct variation, two variables are related by a constant ratio. In this case, we can state the direct variation equation as:
y = kx
where y is the dependent variable, x is the independent variable, and k is the constant of variation.
To determine the value of k, we can use the given information: y = 24 when x = 8. Plugging these values into the equation:
24 = k * 8
Now, we can solve for k:
k = 24 / 8
k = 3
So, the constant of variation is 3.
Now that we know the value of k, we can substitute x = 10 into the direct variation equation and find the value of y:
y = k * x
y = 3 * 10
y = 30
Therefore, when x = 10, y would be equal to 30.