SOLUTION: The number of students attending a leadership conference depends on the price charged. It is determined that 20 students will attend the conference if each is charged $75. For each

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Question 1004824: The number of students attending a leadership conference depends on the price charged. It is determined that 20 students will attend the conference if each is charged $75. For each $10 increase in price, 1 fewer student will attend. This situation is represented by the equation y=(75 + 10x)(20 - x). The cost of running the conference is represented by the equation y = 1000 + 75x.
For each equation, identify what each variable represents.
Thank you!
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The main mistake is the use of y for two different quantities, not meaning the same thing being counted.

(75+10x)(20-x) is revenue for x number of attendees.
1000+75x is the conference cost for x number of attendees.
y can be one of these or the other, but NOT both.