A 5 inch tall balloon shoot doubles in height every 3 days. if the equation y=ab^x, where is x is the number of doubling periods, represents the height of the bamboo shoot, what are the values of a and b?

Question

Physics

Robert Richards

18 February, 15:45

A 5 inch tall balloon shoot doubles in height every 3 days. if the equation y=ab^x, where is x is the number of doubling periods, represents the height of the bamboo shoot, what are the values of a and b?

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Tamara · Answer 1

In this item if we let x be the number of doubling period, that is number of days divided by 3, and y be the height of the bamboo shoot, in the equation

y = ab^x

The value of a is 5 because that is the original height of the shoot and b is 2 because we are talking about the doubling rate. The equation is therefore,

y = 5 (2^x)