ALGEBRA REVIEWER: VARIATION

I. Translate the following.1. f varies directly as h

2. m varies inversely as the cube of r

3. g varies jointly as the square root of s and the cube of j

4. x varies inversely as twice q and directly as the square of P

5. v varies directly as thrice T and inversely as 4 times z

II. Solve for k using the given in #s 1-5.6. f = 2 and h = -1.4

7. r = 1 and m = 0.5

8. j = -1, s = -2 and g = 2

9. x = -1.1, P = 2 and q = 1

10. T = 3, v = 1 and z = 2

III. Solve the following.11. The electric current, in amperes, in a circuit varies directly

as the voltage. When 6 volts are applied, the current is 2 amperes. Predict the current when 18 volts are applied.

12. Hooke’s law states that the distance a spring is stretched by a hanging object varies directly as the weight of the object. The distance is 20cm when the weight is 1.5 kg. Predict the distance when the weight is 5kg.

13. The current in an electrical conductor varies inversely as the resistance of the conductor. The current is ½ ampere when the resistance is 240 ohms. What is the current when the resistance is 540 ohms?

14. The time required to empty a tank varies inversely as the rate of pumping. A pump can empty a tank in 9 minutes at the rate of 120kiloliters per minute. How long will it take the pump to empty the tank at the rate of 100kiloliters per minute?

15. The number of plastic straws produced by a machine varies directly as the amount of time the machine is operating. The machine produces 2 500 straws in 1 hour. How many straws can it produce in 50 hours?