Final answer:
To find the value of y when x is 8 for a direct variation, first calculate the constant of variation (k) using the given values (y=6, x=72), then use k to solve for y when x is 8. The result is y=2/3.
Step-by-step explanation:
If y varies directly as x, it means there is a constant k such that y = kx. We know that y is 6 when x is 72, so we can write the equation 6 = k × 72.
Solving for k, we get k = 6/72 = 1/12.
Now, to find the value of y when x is 8, we substitute k and x into the direct variation equation: y = (1/12) × 8.
Simplifying, we get y = 2/3.
Therefore, the value of y when x is 8 is 2/3.