A charity organization had a fundraiser where each ticket was sold for a fixed price $70. They had to sell a few tickets just to cover necessary production costs. After selling 10 tickets, they were still at a net loss of $800 (due to the production costs). Let p represent the net profit (in dollars) when they have sold n tickets

Question

Mathematics

Houston West

26 July, 05:26

A charity organization had a fundraiser where each ticket was sold for a fixed price $70. They had to sell a few tickets just to cover necessary production costs. After selling 10 tickets, they were still at a net loss of $800 (due to the production costs). Let p represent the net profit (in dollars) when they have sold n tickets

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Answers (1)

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Emilee Chen · Answer 1

p = 70n - 1500

Step-by-step explanation:

The slope-intercept form of the equation is ...

p = 70n + b

We know that p = - 800 for n = 10, so we can find b:

-800 = 70·10 + b

-800 - 700 = b = - 1500

The net profit equation is ...

p = 70n - 1500