PROPORTION Inverse proportion Y is Inversely proportional to

Inverse proportion Y is inversely proportional to the square of x Y varies inversely

1 Inverse proportion Y is inversely proportional to the square root of x Y

2 If y is inversely proportional to the square of x and y =

3 The Pressure P of a given mass of gas varies inversely as the

4 Example The force F between two magnets is inversely proportional to the square

5 Example The Force of attraction F between two magnets varies inversely as the

6 Example The life expectancy of a rat varies inversely as the square of

7 Example y is inversely proportional to the square of x. When y =

8 Example y is inversely proportional to the square root of x. When y

9 Example y is inversely proportional to the cube of x. When y =

10 Example The illumination, L, provided by a torch is inversely proportional to the

11 Example M and G are positive quantities. M is inversely proportional to G.

12 Example y is inversely proportional to the square root of x. When x

13 Example In a circuit, the resistance, R ohms, is inversely proportional to the

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PROPORTION Inverse proportion Y is Inversely proportional to x Y varies inversely as x

Inverse proportion Y is inversely proportional to the square of x Y varies inversely as the square of x

1 Inverse proportion Y is inversely proportional to the square root of x Y varies inversely as the square root of x

2 If y is inversely proportional to the square of x and y = 2 when x = 3, find (i) y when x = 12 (ii) x when y = 0. 5

3 The Pressure P of a given mass of gas varies inversely as the volume V. When P = 250 N/m 2, V = 4 m 3. a) Find the volume when the pressure is 400 N/m 2 b) Find the pressure when the Volume is 20 m 3.

4 Example The force F between two magnets is inversely proportional to the square of the distance x between them. If F = 9 when x = 2, find F when x = 3.

5 Example The Force of attraction F between two magnets varies inversely as the square of the distance d, between them. When the magnets are 3 cm apart the force of attraction is 12 newtons. How far apart are they if the attractive force is 18 newtons?

6 Example The life expectancy of a rat varies inversely as the square of the density d of poison distributed around the home. When the density of poison distributed is 1 g/m 2 the life expectancy is 50 days. How long will he survive if the density of poison is 5 g/m 2?

7 Example y is inversely proportional to the square of x. When y = 3, x = 2 Find the value of y when x = 4

8 Example y is inversely proportional to the square root of x. When y = 10, x = 4. Find the value of y when x = 25.

9 Example y is inversely proportional to the cube of x. When y = 18, x = 3. Find the value of y when x = 6.

10 Example The illumination, L, provided by a torch is inversely proportional to the square of the distance, d, from the torch. When L = 2, d = 10. (a) Find an equation expressing L in terms of d. (b) Find the value of L when d = 2. (c) Find the value of d when L = 8.

11 Example M and G are positive quantities. M is inversely proportional to G. When M = 90, G = 40. Find the value of M when G = M.

12 Example y is inversely proportional to the square root of x. When x = 16, y = 2 What is the value of y when x = 0. 25?

13 Example In a circuit, the resistance, R ohms, is inversely proportional to the current, I amps. When the resistance is 12 ohms, the current in the circuit is 8 amps. (a)Find an equation connecting R and I. (b)Find the current when the resistance in the circuit is 6. 4 ohms.