For the following exercises, write an equation describing the relationship of the given variables. 22. y varies jointly as the square of x and the squarerout of z and inversely as the cube of w . When x = 3 , z = 4 , a n d w = 3 , t h e n y = 6 .
For the following exercises, write an equation describing the relationship of the given variables. 22. y varies jointly as the square of x and the squarerout of z and inversely as the cube of w . When x = 3 , z = 4 , a n d w = 3 , t h e n y = 6 .
The amount of juice in a grapefruit is directly proportional to the cube of its diameter. Let j represent the amount of juice (in fluid ounces) in a grapefruit, let d represent the diameter (in inches) of the grapefruit, and let k be the constant of proportionality. Write an equation that relates j to d.
j =
A grapefruit with a 4-inch diameter contains 6 fluid ounces of juice. Use the equation that relates j to d and the known information to find k.
k =
How many fluid ounces of juice is contained in a grapefruit with a 5-inch diameter? Round to the nearest tenth of a fluid ounce.
-------fl oz
Sophia has already prepared 1 kilogram of dough and will continue preparing 1 kilogram of dough every hour write an equation that shows the relationship between the hours work x and the dough prepared y
a. DeepSea Challenger's descent was a change in depth of (-4) feet per
second. We can use the equation y = -4x to model this relationship, where
y is the depth and x is the time in seconds that have passed.
How many seconds does this model suggest it would
take
for DeepSea
Challenger to reach the bottom?
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