Math Problem Statement

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 165 guests per night. The next week you charged $13 per guest and averaged 105 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.

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Demand Function
Algebra

Formulas

Slope formula: m = (y2 - y1) / (x2 - x1)
Linear equation: y = mx + b

Theorems

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Suitable Grade Level

Grades 10-12