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When x = 2. y = 36
y is directly proportional to x²
Hence y=9x²
Then it goes:
z is inversely propotrional to x
When x = 3. z = 2
b) Show that z=cy to the power n, where c and n are numbers c > 0
(find the values of c and n)
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z is inversely proportional to x means z = B⁄x where B is a constant. When x = 3. z = 2 ⇒ B = 6.
∴ x = 6⁄z ⇒ x² = 36⁄z² ⇒ y = 9x² = 324⁄z²
∴ z = 18y[sup]−½[/sup]
Last edited by JaneFairfax (2007-03-18 11:15:26)
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