Assume that y varies directly as x. If y= -15 when x=5, what is the constant of variation?
1 answer:
Answer:
k = -3
Step-by-step explanation:
Given
Variation: Direct
y = -15 when x = 5
Required
Find the constant of variation
A direct variation is represented as:
y = kx
Where
k = constant of variation
Substitute values for x and y
-15 = k * 5
Multiply both sides by ⅕
⅕ * -15 = k * ⅕ * 5
-3 = k * 1
-3 = k
k = -3
Hence, the constant of variation is -3
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