Amusement park adventures
your friend is planning a trip to an amusement park this summer for his extended family. the park has several different admission prices which depend on the age of the visitor. children under the age of 3 have free admission. children age 3 to under 12 years old receive half-price admission, while visitors from age 12 to under 18 years old are admitted for 25% off. senior citizens (65 years and up) also have free admission. the remaining adults pay the full price for admission.

1. to make finding the total cost easier, your friend wants to represent each of the
admission prices using an inequality.
to him, insert a graph of the compound inequality that represents the possible ages of all visitors with:
a. free admission
b. half-price admission
c. 25% off admission
d. full-price admission
2. for each of the graphs in exercise 1, write an inequality where x represents the ages of the visitors for each admission price.
a. free admission: x=0$
b. half-price admission:
c. 25% off admission:
d. full-price admission:
3. what differences do you notice between the inequality statements used to represent the ages of the visitors at each admission price?
4. what do you think caused these differences?