If y=8 when x=16, what is y when x= 24

Step 1: Since the problem doesn't state the type of correlation, we'll assume a direct proportionality. Using a direct proportion, we have:

\frac{y_1}{x_1} = \frac{y_2}{x_2}

Step 2: Plug in the given values \( y_1 = 8 \), \( x_1 = 16 \), and \( x_2 = 24 \). Solve for \( y_2 \):

\frac{8}{16} = \frac{y_2}{24}

Step 3: Simplify the left-hand side:

\frac{1}{2} = \frac{y_2}{24}

Step 4: Solve for \( y_2 \) by cross-multiplying:

y_2 = \frac{1}{2} \times 24

Step 5: Calculate the value:

y_2 = 12

Therefore, when \( x = 24 \), \( y = 12 \).