Algebra&Geometry1.7 Variation

w varies inversely as x

K=x/w

K= wx

K=w-z

K=w/x

The number of aluminum cans used each year varies directly as the number of people using the cans. If 250 people use 60,000 cans in one year, how many cans are used each year in Dallas, which has a population of 1,008,000?

255,920,000 cans

241,920,000 cans

4272 cans

4200 cans

x is jointly proportional to y and z

k = \frac{yz}{3}

k= \frac{x}{yz}

k=xyz

k=x+y+z

e varies jointly as f and g and e = 24 when f = 3 and g = 2

4=(fg/e)

4=e/(fg)

4=f+g+e

4=fg+e

m is inversely proportional to n and m = 1.8 when n = 2.1

n/m = 1.17

m/n =0.85

mn = 3.78

m+n = 3.9

The intensity of illumination falling on a surface from a given source of light is inversely proportional to the square of the distance from the source of light. The unit for measuring the intensity of illumination is usually the foot candle. If a given source of light gives an illumination of 1 foot-candle at a distance of 10 feet, what would the illumination be from the same source at a distance of 20 feet?

I = 0.50

I = 0.25

I = 1

I = 0

The electrical current, in amperes, in a circuit varies directly as the voltage. When 15 volts are applied, the current is 5 amperes. What is the current when 18 volts are applied?

3000g

The current in an electrical conductor varies inversely as the resistance of the conductor. If the current is 12 ampere when the resistance is 240 ohms, what is the current when the resistance is 540 ohms?

4.3k

6 k

5.3k

c varies directly as a

k=c+a

k=ca

k=c/a

k=a/c

w is inversely proportional to the cube of x and w is 54 when x = 3

wx³ =1458

wx³=2

x³=2

w/x³ =1458

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