Find a Linear Equation in the Form p(n) = mn + b That Gives the Price p (Word Problem)

Find a Linear Equation in the Form p(n) = mn + b That Gives the Price p (Word Problem)

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 1,000 shirts can be sold at a price of $30, while 3,000 shirts can be sold at a price of $22. Find a linear equation in the form p(n) = mn + b that gives the price p they can charge for n shirts.

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