Question

the summerfield opera house sold 22,200 tickets this year, but it has been experiencing a 6% drop in sales from one year to the next. if this trend continues, then how many tickets will the opera house sell 2 years from now? if necessary, round your answer to the nearest whole number. tickets

Explanation:

Step1: Determine the decay factor

A 6% drop means the remaining percentage is \(100\% - 6\% = 94\% = 0.94\).

Step2: Calculate tickets after 1 year

Tickets after 1 year = \(22200\times0.94\)
\(22200\times0.94 = 20868\)

Step3: Calculate tickets after 2 years

Tickets after 2 years = \(20868\times0.94\)
\(20868\times0.94 = 19615.92\)

Step4: Round to nearest whole number

Rounding \(19615.92\) gives \(19616\).

Answer:

19616