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 the ratio between y and x remains constant. We can represent this relationship with an equation of the form y = kx, where k is the constant of variation.
To find the value of y when x = 10, we first need to determine the value of k. We can do this using the given information that y = 24 when x = 8.
Using the equation y = kx and the given values, we have:
24 = k * 8
To solve for k, we divide both sides of the equation by 8:
k = 24 / 8
k = 3
Now that we have the value of k, we can substitute it back into the equation y = kx and find the value of y when x = 10:
y = 3 * 10
y = 30
Therefore, the value of y when x = 10 is 30.