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

Given:
Everbank Field can seat 76,867 fans
ticket is priced at $161.

Revenue can be modeled as a function of people in attendance.

f(x) = 161x

Domain is the X-VALUES or number of people in attendance
Range is the Y-VALUES or revenue

Let us assume that the Everbank Field reached its full capacity.

f(x) = 161x
f(76,867) = 161(76,867)
f(76,867) = 12,375,587

domain would be 76,867
range would be 12,375,587

Answer 2

Answer: The domain of the function is, 0 ≤ x ≤ 76,867

And the range is, 0 ≤ f(x) ≤ 12,375,587

Explanation:

Let f be the function that shows the revenue,

⇒ f(x) = 161 x

Where, x is the number of people in attendance,

Since, Domain of f(x) = The set of all possible value of x

Range of f(x) = The set of all possible value of f(x)

Since, the least value of x = 0,

And, the maximum value of x = 76,867

Hence, the domain of f(x) = 0 ≤ x ≤ 76,867

Now, the minimum value of f(x) = 0 ( At x = 0 )

While the maximum value of f(x) = 161 × 76867 = 12,375,587

⇒ The range of f(x) = 0 ≤ f(x) ≤ 12,375,587