math

You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). One week you charged $9 per guest and averaged 160 guests per night. The next week you charged $11 per guest and averaged 140 guests per night.
(a) Find a linear demand equation showing the number of guests q per night as a function of the cover charge p.

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  1. q = ap+b

    160 = 9a+b
    140 = 11a+b

    a = -10
    b = 250

    q = 250 - 10p

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