Which of the following quantities are inversely proportional?
The amount of candy purchased for $25.50 and the price per pound
Answers
Given :
a )The number of hours worked and the amount of money earned, assuming the worker is paid by the hour
b The height of a rectangular fish tank and the area of its base, if the volume is constant
c The amount of candy purchased for $25.50 and the price per pound
d The time it takes to use a 5 lb bag of dry cat food and the number of cats, if each cat eats the same amount of food per same time interval.
To Find : Which are inversely proportional
Directly proportion y = kx
Inversely proportional
y ∝ 1/x
=> xy = k k is constant
The number of hours worked and the amount of money earned, assuming the worker is paid by the hour
=> Money Earned = Number of hrs worked * ( amount per hr )
=> Directly proportional
The height of a rectangular fish tank and the area of its base, if the volume is constant
=> height of a rectangular fish * area of its base = volume
=> height of a rectangular fish * area of its base = Constant
Hence Inversely proportional
The amount of candy purchased for $25.50 and the price per pound
amount of candy purchased = $25.50 / the price per pound
=> amount of candy purchased * the price per pound = $25.50
amount of candy purchased * the price per pound = constant
Hence Inversely proportional
The time it takes to use a 5 lb bag of dry cat food and the number of cats, if each cat eats the same amount of food per same time interval.
=> Time Taken = 5 lb / Number of cats
=> Time Taken * Number of cats = 5 lb
=> Time Taken * Number of cats = constant
Hence Inversely proportional
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