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Sue set up a lemonade stand and sold 10 glasses of lemonade in the first hour. Her sales increased at the rate of 20% per hour for the next n hours. Which function represents the total number of glasses she sold in the nth hour? If the price of 1 glass of lemonade is $0.50, how much money did she earn in the nth hour? The function that gives the total number of glasses sold in the nth hour is , and the money she earned in the nth hour is .

Verified Answer :

apologiabiology

this is compound interest
\(A=P(r+1)^t\)
r=rate
P=original amount
t=time in hours
\(A=10(0.2+1)^t\)

\(A=10(1.2)^n\) is the number of glasses in n hours
price=cost time number of glasses
0.5 times \(10(1.2)^n\) is \(5(1.2)^n\)



total glasses sold in n hours is
\(f(n)=10(1.2)^n\)
the function for money eraned in the nth hour is
\(f(n)=5(1.2)^n\)

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