Question

The base ticket price for a football game is modeled by the function p(x) = 15x + 10, where x is the years since the team started playing football. Not included in each base ticket price is a service charge modeled by the function c(x) = 5x + 2. To find the total cost of a ticket, a fan should use what operation on the polynomials?

Answer 1

To find the total cost of a ticket, you should add the base ticket price function \( p(x) \) and the service charge function \( c(x) \).

The total cost function \( T(x) \) can be expressed as:

\[ T(x) = p(x) + c(x) \]

So, you would perform the operation of addition on the two polynomials \( p(x) \) and \( c(x) \):

\[ T(x) = (15x + 10) + (5x + 2) \]

When you combine like terms, the result will give you the total cost function for the ticket.