Question

Great Amusements Park has been raising its ticket prices every year, as shown in the table below

Answer 1

1.)

Between year 0 and year 1, we went from $50 to $55.

$55/$50 = 1.1

The price increased by 10% from year 0 to year 1.

Between year 2 and year 1, we went from $55 to $60.50.

$60.50/$55 = 1.1

The price also increased by 10% from year 1 to year 2. If we investigate this for each year, we will see that the price increases consistently by 10% every year.

The sequence can be written as an = 50·(1.1)ⁿ

2.) To determine the price in year 6, we can use the sequence formula we established already.

a6 = 50·(1.1)⁶ = $88.58

The price of the tickets in year 6 will be $88.58.