For the following exercises, write an equation describing the relationship of the given variables. 18. y varies jointly as the square of x and the squareofzandwhen x = 3 a n d z = 4 , t h e n y = 72 .
For the following exercises, write an equation describing the relationship of the given variables. 18. y varies jointly as the square of x and the squareofzandwhen x = 3 a n d z = 4 , t h e n y = 72 .
A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and yield,y, each plant produces. When she plants 30 stalks, each plant yields 26oz of beans. When she plants 38 stalks, each plant produces 22 oz of beans. Find the linear relationship in the form of y=mn+b that gives the yield when n stalks are planted.
Francesca is modeling a subway line on the coordinate plane below. She places the
first stop on her subway at (0.5,0.5) and the final stop on her subway at (2.5,1.5).
Write a rule showing the relationship between the x-and y-coordinates for the
points.
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
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