3. Based on past concerts, a band predicts selling 600 - 10p concert tickets when each ticket is sold at p dollars.
A. Complete the table to find out how many concert tickets the band expects to sell and what revenues it expects to receive at the given ticket prices.
ticket price, p (dollars) | number of tickets | revenue (dollars)
10 | 600 - 10( 5 ) | 10 * 500 = $5000
15 | 600 - 10(15) = ___ | 15 * ___ = $___
20 | 600 - 10(___) = ___ | 20 * ___ = $___
30 | 600 - 10(___) = ___ | ___ * ___ = $___
35 | 600 - 10(___) = ___ | ___ * ___ = $___
45 | 600 - 10(___) = ___ | ___ * ___ = $___
50 | 600 - 10(___) = ___ | ___ * ___ = $___
60 | |
p | 600 - 10p | p * (___)
B. In this model, at what ticket prices will the band earn no revenue at all?
The band will earn no revenue when the ticket price is $ ______.
C. At what ticket prices should the band sell the tickets if it must earn at least 8,000 dollars in revenue to break even (to not lose money) on a given concert. Explain how you know.
Hint: Solve 600 - 10p ≥ 8000