algebra math problem

Question

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 $5. Find a linear equation in the form p(n)=mn+b that gives the price p they can charge for n shirts.

Answer 1

(1,30), (3,5)

at $30 1,000 sold

at $5 3,000 sold

y-30= (-25/2)(x-1)

y=-12.5x +42.5

y= -12.5x+42.5

P= -12,500 + 42,500

Price in dollars = quantity in units of -12.5 thousand +42,500

30=-12.5 +42.5=30

P=-12.5x +42,500

5= -12.5(3)+42.5=-36.5+42.5=5