Final answer:
The expression to find the value of y when x is 2, given that y varies directly as x and y is 48 when x is 6, is y = 8 × 2, which results in y = 16.
Step-by-step explanation:
If y varies directly as x, and y is 48 when x is 6, the expression to find the value of y when x is 2 is y = kx, where k is the constant of variation. Given that y = 48 when x = 6, we can find the constant of variation k by solving 48 = k × 6, which gives us k = 8. To find y when x is 2, we substitute the values into the direct variation equation, yielding y = 8 × 2, which simplifies to y = 16.