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?

Addition

Subtraction

Multiplication

It cannot be determined

Answer 1

Answer: First option is correct.

Explanation:

Since we have given that

Price of base ticket for a football game is given by

`p(x)=15x+10`

Service charge modeled by the function is given by

`c(x)=5x+2`

We need to find the total cost of a ticket :

p(x) + c(x)

= 15x+10+5x+2

=20x+12

So, we have used Addition operation on the polynomials.

Hence, First option is correct.

Answer 2

The total cost of the ticket is the sum of the base ticket price, p(x) = 15x + 10, and the service charge, c(x) = 5x + 2. Therefore, from the word sum, the operation involved is Addition. This is the first among the choices given.