Question 3.
Given:
• Number of seats = 45000
,
• Cost of maintaining the stadium for 1 game = $1.7 million = 1,700,000
,
• Ticket price = $50
Let's write an equation to figure the profit for the game.
Apply the slope-intercept form:
y = mx + b
In this case x will represent the number of seats or tickets sold
m will represent the ticket price = 50
-b will represent the cost of maintaining the stadium = -1700000
y will represent the profit.
f(t) = 50t - 1700000
To find the profit when the stadium is full, we have:
f(45000) = 50(45000) - 1700000
f(45000) = 2250000 - 1700000
f(45000) = 550000
Therefore, the profit if the stadium is full is $550,000
• Domain:
Since the stadium has seats for about 45000 people, the domain will be:
0 ≤ t ≤ 45000
The domain in interval notation will be:
(0, 45000]
ANSWER:
• Function: ,f(t) = 50t - 1700000
• Domain: ,0 ,≤, t ≤ 45000
• Notation: (0, 45000]