SOLUTION: John hosts an art workshop on the weekends. He has an average of 14 students in each session and charges a fee of $12 per session. He estimates that for every $2 increases in the f

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Question 1114424: John hosts an art workshop on the weekends. He has an average of 14 students in each session and charges a fee of $12 per session. He estimates that for every $2 increases in the fee, the average number of students reduces by 1.
Complete the equation that models this scenario, where c(x) is the revenue generated and x is the number of $2 fee increases.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
John hosts an art workshop on the weekends. He has an average of 14 students in each session and charges a fee of $12 per session. He estimates that for every $2 increases in the fee, the average number of students reduces by 1.
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Original Revenue DATA:
fee = 12
# of students = 14
Revenue = 12*14 = $168
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Hypothesized Revenue ::
fee = 12 + 2x
# of students = 14-x
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Ans:: C(x) = (12+2x)(14-x)
Complete the equation that models this scenario, where c(x) is the revenue generated and x is the number of $2 fee increases.
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Cheers,
Stan H.
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