The value of y is directly proportional to the value of x. If y = 8 when x = 16, what is the value of y when x = 24 ?

Step 1: Understand the problem. The problem states that y is directly proportional to x. This means that as x increases, y increases at the same rate, and vice versa.

Step 2: From the problem, we know that y = 8 when x = 16. We can use this information to find the constant of proportionality (k). The formula for direct proportionality is y = kx.

Step 3: Substitute the given values into the formula to find k. So, 8 = k * 16. Solving for k, we get k = 8 / 16 = 0.5.

Step 4: Now that we have the constant of proportionality, we can find the value of y when x = 24. Substitute these values into the formula: y = 0.5 * 24.

Step 5: Solve for y. So, y = 12.

Therefore, when x = 24, y = 12.