Using an exponential function, it is found that 7 rounds are needed before all 1560 members are called.
What is an exponential function?
An exponential function is modeled as follows:
[tex]y = ab^x[/tex]
In which:
Considering that initially one person knows the method, and then each person will call 3 other people, the parameters are given as follows:
a = 1, b = 3.
Hence the number of people that are called after x rounds is given by:
[tex]y = 3^x[/tex]
The number of rounds that will take for the 1560 members to be called is found as follows:
[tex]3^x = 1560[/tex]
[tex]\log{3^x} = \log{1560}[/tex]
[tex]x\log{3} = \log{1560}[/tex]
[tex]x = \frac{\log{1560}}{\log{3}}[/tex]
x = 6.69.
Rounding up, as at the end of the 6th call not all members will have been called, 7 rounds are needed before all 1560 members are called.
More can be learned about exponential functions at https://brainly.com/question/25537936
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