If y varies directly with x and y = 8 when x = 12, what will be the value of y when x = 15
12
22.5
10
6.4
To solve this problem, we can set up a proportion using the direct variation equation.
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 substitute the given values of y and x into the equation. When y = 8 and x = 12, we get:
8 = k(12)
To solve for k, we divide both sides of the equation by 12:
8/12 = k
Simplifying, we find k = 2/3.
Now that we've found k, we can use the equation to find the value of y when x = 15:
y = (2/3)(15) = 30/3 = 10.
Therefore, the value of y when x = 15 is 10.