Matt Wolf
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Determine whether the following equations display direct variation, inverse variation, or neither.
[pic] [pic] [pic] [pic] [pic] [pic]
Follow the given type of variation and use the given values to write an equation relating x and y.
Inverse Variation: [pic], [pic] Direct Variation: [pic], [pic]
Use this equation to find y when x = 2. Use this equation to find y when x = 2.
The work W (in joules) done when lifting an object varies jointly with the mass m (in kilograms) of the object and the height h (in meters) that the object is lifted. The work done when a 120kg object is lifted 1.8 meters is 2116.8 joules. Write an equation that relates W, m, and h. How much work is done when lifting a 100kg object 1.5 meters?
The load P (in pounds) that can be safely supported by a horizontal beam varies jointly with the width W (in feet) of the beam and the square of its depth D (in feet), and inversely with its length L (in feet).
a) How does P change when the width and length of the beam are doubled?
b) How does P change when the width and depth are doubled?
c) How does P change when all three are doubled?
d) Describe one way in which a beam can be modified if the safe load it is
required to support is increased by a factor of 4.
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