Tickets to a play cost $5 at the door and $4 in advance. The theater club wants to raise at least $400 from the play. Write and graph an inequality for the number of tickets the theater club needs to sell. If the club sells 40 tickets in advance, how many do they need to sell at the door to reach their goal?
To find: The inequality and the graph satisfying the given condition.
Answer to Problem 23P
The required inequality is
If the club sells 40 tickets in advance then, at least 48 tickets needed to be sold at the door to reach the goal.
Explanation of Solution
Given information:
The cost of the ticket at the door to a play
The cost of the ticket in advance to a play
The theatre club wants to raise at least
Calculation:
Let
Money raised from tickets sold at the door
Money raised from tickets sold in advance
A.T.Q
The graph of the obtained inequality is
If the club sells 40 tickets in advance, that is,
Then,
At least 48 tickets needed to be sold at the door to reach the goal.
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