question archive With new technologies and new types of successful business ventures, it is common for growth to be approximately exponential
With new technologies and new types of successful business ventures, it is common for growth to be approximately exponential
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With new technologies and new types of successful business ventures, it is common for growth to be approximately exponential. An example is the growth in the number of Internet domain hosts. One model is that the number of domain hosts grew according to the ruleNext year's number = 1.41 × Current number.
Find the percentage increase each year.
Explain why the number of hosts is an exponential function of time.
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Answer:
Next year's number = 1.41 × Current number.
let
Current number=x
then
Next year's number = 1.41x
percentage increase = (1.41x-x)/x *100 = 0.41 *100 = 41%
========
Since we are multiplying each year by 1.41, it can be modeld as
Next year's number = 1.41 ^t × Current number.
Thus, it is exponential function of time.
