Question

Everbank field, home if 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 the function.

Answer 1

Domain: 0<x<76,867

Range: 0<y<12,375,587

Answer 2

Domain of function:
`0\leq x\leq 76867`

Range of a function :
`0\leq y \leq 12375587`

Explanation:

Given : Jacksonville jaguars, is capable of seating 76,867 fans.

Each ticket costs $161

To Find: find the domain and range of the function.

Solution:

Let the number of the people in the attendance be x

Cost of 1 ticket = $161

Cost of x tickets = 161x

Let the total cost be y

So, function becomes :
`f(x)=y=161x`

Since x is the number of people and we are give that Jacksonville jaguars, is capable of seating 76,867 fans.

So, x cannot be greater than 76,867

So, domain of the function is
`0\leq x\leq 76867`

Now cost of 1 ticket = $161

Cost of 76,867 tickets =
`161 * 76867 =12375587`

So, the total cost cannot be more than $12375587 i.e. y cannot be more than $12375587

So, range of the function is
`0\leq y \leq 12375587`

Hence Domain of function:
`0\leq x\leq 76867`

Range of a function :
`0\leq y \leq 12375587`