# If y varies directly as x and y = 8 when x = 2, then does y = 3 when x = 12

1 answer

###### Question:

If y varies directly as x and y = 8 when x = 2, then does y = 3 when x = 12

## Answers

Answer:the initial statement is y∝xto convert to an equation multiply by k the constantof variation⇒y=kxto find k use the given conditiony=3 when x=2y=kx⇒k=yx=32equation is ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯∣∣∣22y=32x22∣∣∣−−−−−−−−−−−− when x=8 theny=321×84=3×4=12Step-by-step explanation:

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