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Eighth Grade: Variation Word Problems
Carl drove from his house to work
Carl drove from his house to work at an average speed of 35 miles per hour. The drive took him 25 minutes. If the drive home took him 30 minutes and he used the same route in ...
At sea, the distance to the horizon
At sea, the distance to the horizon is directly proportional to the square root of the elevation of the observer. If a person who is 36 feet above the water can see 7.4 ...
The force with which the earth attracts
The force with which the earth attracts an object above the surface of the earth varies inversely with the square of the distance of the object from the center of the earth. If an object 4000 miles from the center of the earth is attracted with a force of 160 ...
Force needed to keep a car from skidding
Force needed to keep a car from skidding on a curve varies jointly as the weight of the card and the square of the speed adn inversely as the radius of the curve. It takes 3800 pounds of force to keep an 1800 pound car from skidding on a curve with radius 425 feet at 45 ...
The kinetic energy(k) of a moving object
The kinetic energy(k) of a moving object varies jointly with its mass(m) and the square of its velocity(v). If an object weighing 90 kilograms and moving with a velocity of 20 meters per second has a kinetic energy of 4500 ...
The simple interest earned
The simple interest earned by a certain amount of money varies jointly as the rate of interest and the time (in years) that the money is invested. If $140 is earned for a certain amount of money invested at 7% for 5 ...
Radiation machines, used to treat tumors
Radiation machines, used to treat tumors, produce an intensity of radiation that varies inversely as the square of the distance from the machine. At 3 meters, the radiation intensity is 62.5 milliroentgens per hour. What is the intensity at a distance of 2...
Under certain conditions of artifical light
Under certain conditions of artifical light, the exposure time required to photograph an object varies directly as the candle power of the light and varies inversely as the square of the object's distance fom the light source. If the exposure time is 0.01 second when the light source is 6.00 feet from the ...
z varies jointly as x and y inversely as w
z varies jointly as x and y inversely as w. Write appropriate combined variation equation and find z for given values x, y, and w.
z=10 when x=5 and w=3 x=8 y=6 and w=-12
The gravitiational force F between two spherical objects
The gravitiational force F between two spherical objects, having mass m1 and m2 respectively, varies jointly with respect to m1 and m2 and inversely with respect to the square of the distance d between the two objects. If m1 = 20 kilograms, m2 = 100 kilograms and the force F = 3.35 10
8 Newtons when the distance between the two objects is d = 2 ...
Q varies as the cube root of Z
Q varies as the cube root of Z. If Q=9 and Z=27, find
1. The constant of proportionality
2. An expression for Z interms of Q
3. The value of Q when Z=8
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Great addition of variations of worksheets and problems. Will help with generating appropriate worksheets for the lessons that I teach.
