Math Problem Statement

A clothing business finds there is a linear relationship between the number of shirts, n ,it can sell and the price, p, it can charge per shirt. In particular, historical data shows that 900 shirts can be sold at a price of $7, while 10000 shirts can be sold at a price of $4. Give a linear equation in the form p=mn+b that gives the price p they can charge for n shirts. Round the value of your slope to three decimal places. Be careful to use the proper variable and use the Preview button to check your syntax before you submit your answer.

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Slope formula: m = (p2 - p1) / (n2 - n1)
Linear equation form: p = mn + b

Theorems

Point-slope form of a line

Suitable Grade Level

Grades 9-12