1) An amusement park charges a flat fee of $25 per person for entrance to the park. Each ride will
cost an additional $5 per person.
a) Find the cost (C) of going to the park as a function of the number of rides (x) one pays for.
b) i) Identify the independent variable.
ii) What is a reasonable domain for this function in the context of the story?
c) i) Identify the dependent variable.
ii) What is the range of this function based on the domain found in the previous question?
d) i) What is the slope of the graph of this function. (The rate of change of the function, which is constant.)
ii) What is the meaning of the slope in the context of this story?
e) i) Find the vertical intercept of the graph of this function.
ii) What is the meaning of this vertical intercept in the context in this story?