Question
A charity organization is having a fundraiser.
represents the fundraiser’s profit (in dollars) if
tickets are sold. A
negative profit means the expenses exceeded the income from tickets.
What are the expenses of the fundraiser?
negative profit means the expenses exceeded the income from tickets.
What are the expenses of the fundraiser?
Ask by Guzman Sherman. in the United States
Jan 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The expenses of the fundraiser are $1,500.
Solution
To determine the expenses of the fundraiser, let’s analyze the given profit equation:
Where:
-
represents the profit in dollars. -
is the number of tickets sold. -
represents the total income from ticket sales (assuming each ticket is sold for $70). -
represents the fixed expenses of the fundraiser.
The profit equation can be understood as:
Substituting the provided values:
By comparing both sides of the equation, it’s clear that:
Therefore, the expenses of the fundraiser are $1,500.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
The expenses of the fundraiser can be determined from the profit equation
. Here,
represents the fixed costs or expenses that must be covered regardless of ticket sales. So, the expenses of the fundraiser amount to
.
To find out how it all works, consider that every ticket sold adds
to the profit. If not enough tickets are sold and
becomes negative, it means the income from the tickets (which is
) isn’t sufficient to cover that
expense. So, the fundraiser needs to sell at least
tickets to break even!