Question

the value of y varies directly with x, and y = -16 when x = 4. what is y when x = 12? y = ? remember: y = kx

Explanation:

Step1: Find constant k

Substitute $y=-16$, $x=4$ into $y=kx$:
$-16 = k \times 4$
Solve for $k$: $k = \frac{-16}{4} = -4$

Step2: Calculate y at x=12

Use $y=kx$ with $k=-4$, $x=12$:
$y = -4 \times 12$

Answer:

$-48$