The price of daily admission at an amusement park is 36 dollar. The park sells an unlimited season pass for 240 dollar. How many trips would you need to make with the season ticket in order for it to cost less than paying the daily admission rate?

The price of daily admission at an amusement park is 36 dollar. The park sells an unlimited season pass for 240 dollar. How many trips would you need to make with the season ticket in order for it to cost less than paying the daily admission rate?

Detailed Explanation

Let x equal the number of daily tickets you would purchase. 36x = the daily ticket cost.

240 < 36x

240/36 < x

\(6\frac{{2} }{{3}}\) < x

You would need to use the ticket more than \(6\frac{{2} }{{3}}\) times (or 7 times) in order for it to be cheaper to use the season ticket.

240 < 36x

240/36 < x

\(6\frac{{2} }{{3}}\) < x

You would need to use the ticket more than \(6\frac{{2} }{{3}}\) times (or 7 times) in order for it to be cheaper to use the season ticket.