Many amusement parks have started selling annual passes. If a
person has an annual pass, then they can enter the park at any
time without having to buy a ticket. A famous amusement park
charges $109 for a one-day ticket and $1,300 for an annual pass.
The cost to park your vehicle at the park is $35 a day but annual
pass holders do not have to pay to park. You have several days
for a vacation and want to spend them at the amusement park.
When would it be cheaper to buy an annual pass rather than
paying per day?
1. List the constants given in the problem.
Write your response below:
2. What is the variable needed to answer the question? Is this
an independent or a dependent variable?
3. Let t = the time in days that you intend to spend at the
amusement park and c = the total cost for tickets and
parking.
Write a model that tells the total cost if you buy one-day
tickets each day you go to the park and do not buy the
annual pass.
Show your work below:
4. Suppose you plan on going to the amusement park for 7
days. Is it cheaper to buy individual tickets per day or to
buy an annual pass ahead of time?
