Question

Everbank Field, home of the Jacksonville Jaguars, is capable of seating 76,867 fans. The revenue for a particular game can be modeled as a function of the number of people in attendance, x. If each ticket costs $161, find the domain and range of this function.

Answer 1

The domain will be every integer from 0 to 76867 (it will look like this [0, 76867].
The range will be {0, 161, 322, 3(161), 4(161), ... 76867(161)}.

With the information given, the equation will look like this:

f(x) = 161x

The domain is a set of all possible values that, when plugged into x, will give us a real number. So, if we were to plug in 2 for x, the equation would look like this:

f(2) = 161(2) = 322

Since 322 is a real number, 2 is part of the domain. 

While the domain is the set of numbers that substitute x, the range is the product. So in the above example, the range would be 322. Since the domain is [0, 76867], the range would be the set of products that come from plugging in each of these numbers:

{0, 161, 322, 3(161), 4(161), ... 76867(161)}