3. if y varies directly as x and y=23.1 when x=36.3, find y when x=11.
1 answer:
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Answer:
The constant of variation is k = -2 ⇒ (B)
Step-by-step explanation:
The equation of the direct variation is y = k x, where
- k is the constant of variation
- The constant of variation k =
The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)
We can use one of the points <em>[except point (0, 0)]</em> to find the value of k
∵ (-1, 2) is a given point
∴ x = -1 and y = 2
∵ k =
→ Substitute the values of x and y in the relation above
∴ k =
∴ k = -2
The constant of variation is k = -2