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steviedude316
23.06.2019 •
Mathematics
There are 15 people in the chorus. each year, the number of people in the chorus increases by 12%. there are 30 people in the band. each year, 2 new people join the band. part a: write functions to represent the number of people in the chorus and the number of people in the band throughout the years. (4 points) part b: how many people are in the chorus after 9 years? how many people are in the band after the same number of years? (2 points) part c: after approximately how many years is the number of people in the chorus and number of people in the band the same? justify your answer mathematically.
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Ответ:
Part A
Chorus:
Expontential growth = b*a^x
b = 15
a = 1.12 (a= r+1), r = 12%
Which gives a function of f(x) = 15*1.12^x
Band
Linear growth = ax+b
a = 2
b = 30
Which gives a function of g(x)=2x+30
Part B:
f(9) = 15*1.12^9 = 41.59
g(9) = 2*9+30 = 48
Part C:
This is probably problem solving, where you're allowed to use calculators and other softwares.
Therefore you can use different softwares, and make f(x) = g(x).
I did this, and got it to 10.95427141
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AmbitiousОтвет:
Me gurl
Step-by-step explanation: