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Suppose that y varies directly as the cube of x If x is tripled what is the effect on y?
Wiki User
∙ 11y ago
y will be multiplied by 27. Remember, whatever you do to one side of an equation, you must do to the other.
In this case, the relationship between x and y would be expressed as
y = x^3
To triple x would look like
y = (3x)^3 ...b/c you're tripling the value x alone, not the entire term x^3
y = 27x^3 ...after distributing the exponent (3^3 = 27)
In order to set both sides of the equation equal, y must be multiplied by 27...
27y = 27x^3
TADA!
Wiki User
∙ 11y ago
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