Question

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 . NextReset

Answer 1

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

A=10(.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 is A=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

hope this helps