if y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this…
if y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?\n$\frac{1}{5}$\n$\frac{4}{5}$\n5\n16
Answer
Explanation:
Step1: Recall direct variation formula
Direct variation is defined as $y = kx$, where $k$ is the constant of variation.
Step2: Substitute given values
Substitute $y=20$ and $x=4$ into the formula: $20 = k \times 4$
Step3: Solve for $k$
Rearrange to isolate $k$: $k = \frac{20}{4} = 5$
Answer:
5