Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2007-03-18 07:21:16

robynnn
Member
Registered: 2007-03-18
Posts: 1

inverse proportionality

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)

Offline

#2 2007-03-18 11:08:17

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: inverse proportionality

z is inversely proportional to x means z = Bx where B is a constant. When x = 3. z = 2 ⇒ B = 6.

x = 6⁄zx² = 36⁄z² ⇒ y = 9x² = 324⁄z²

z = 18y[sup]−½[/sup]

Last edited by JaneFairfax (2007-03-18 11:15:26)

Offline

Board footer

Powered by FluxBB