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.

Respuesta :

Domain: 0<x<76,867

Range: 0<y<12,375,587

Answer:

Domain of function:  [tex]0\leq x\leq 76867[/tex]

Range of a function : [tex]0\leq y \leq 12375587[/tex]

Step-by-step 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 : [tex]f(x)=y=161x[/tex]

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 [tex]0\leq x\leq 76867[/tex]

Now cost of 1 ticket = $161

Cost of 76,867 tickets = [tex]161 \times 76867 =12375587[/tex]

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

So, range of the function is  [tex]0\leq y \leq 12375587[/tex]

Hence Domain of function:  [tex]0\leq x\leq 76867[/tex]

            Range of a function : [tex]0\leq y \leq 12375587[/tex]