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Using an exponential function, it is found that there will be 32,866 pigeons in 13 years.
<h3>What is an exponential function?</h3>An increasing exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
The initial value and the growth rate are given by:
A(0) = 9520, r = 0.1.
Hence the function is given by:
Hence in 13 years, the amount of pigeons will be of:
More can be learned about exponential functions at brainly.com/question/25537936
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Since the photo booth charges a $500 fee for two hours at the party and an additional 50 dollars per hour, we have:
50x+500=C
Where x is the hours stayed and C is the total cost. Since Cindy doesn't want to spend more than 700 dollars, we have:
So she spent an additional 4 hours on the rental.