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Question

Ms. Picasso is also considering having the students in the art club make and sell candles to raise money for supplies. The function

$P(x) = -20x^2 + 320x – 780$

models the profit the club would make by selling the candles for x dollars each. Give the reasonable domain and range of P(x), assuming that the club does not want to lose money by selling the candles. Explain how you determined the reasonable domain and range

Solution

VerifiedStep 1

1 of 3since the club does not want to lose money by selling the candles, they should sell them at prices that give them positive profit. prices between the x-intercepts, where profit is $0$, give the club positive profit, so a reasonable domain is between $x=3$ and $x=13$

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