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Question

Cost of a balloon is inversely proportional to number of balloons purchased. Comment on the relationship of the rate of reaction with time.

A
Cost of a balloon is a function of number of balloons purchased.
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B
From the defination of a function, the relationship between the cost of balloon and number of balloons purchased is not a function.
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C
The relationship is non-linear.
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D
The relationship is linear as the exponent of the variables is 1.
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Solution

The correct option is C The relationship is non-linear.
Let the cost of a balloon is represented as C unit and number of balloons purchased be n.
Here, n is the independent variable.
Cost of a balloon is inversely proportional to number of balloons purchased.
C1n
C=k1n
where k is a constant of proportionality.
C=kn1

The exponent of the independent variable is 1.
Hence, this is a non-linear function.

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