You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 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. q(p) =(b) Find the nightly revenue R as a function of the cover charge p.