The situations that describe exponential growth are;
1 ; The number of butterflies in an area increases by 10% per year.
3; Kristy bought a collector’s coin for $2.15 and its value increases at a rate of 3% per year.
4; The number of people who have heard a rumor increases because every person tells 2 other people.
Exponential growth generally can be represented by the formula;
f(n) = a(1 + r)ⁿ
where;
f(n) = exponential growth function
a = initial amount
r = growth rate in %
n = number of time intervals
1) The growth rate of the butterflies increase by 10% every year;
This can be modelled by an exponential growth function because we are given growth rate.
2) The population of a city increases by 500 people per year; This can't be modelled by exponential growth function because the growth rate is not in percentage.
3) Kristy bought a collector’s coin for $2.15 and its value increases at a rate of 3% per year;This can be modelled by an exponential growth function because we are given growth rate in %.
4) The number of people who have heard a rumor increases because every person tells 2 other people; This can be modelled by an exponential growth pattern because the rate of increase is 2 for every one person which is exponential in nature.
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