When the Senior class decided to order T-shirts they were quoted a price of 7.50 per shirt plus a setup fee. The total cost for 300 shirts was 2450. Write an equation in the form y mx b that represent?

Answer 1

This is a cost that has both a variable cost (depending upon how many shirts are ordered) and a fixed cost (the set up fee which is same regardless of number of shirts ordered) element; in the equation: y = mx + b, each letter represents:

y = cost of shirts

m = cost per shirt

x = number of shirts

b = set up fee

→ 2450 = 7.5 × 300 + b

→ b = 2450 - 2250

→ b = 200

→ y = 7.5x + 200.

Answer 2

Here, b is the set up fee and m is cost per shirt, y is cost and x is number of shirtsy = mx + by = cost = 7.50x + b2450 = 7.50(300) + bb = 200y = 7.50 x + 200

Answer 3

Suppose y = cost, x = number of shirts, c = set up costthen 2450 = 7.5*300 + c

=> c = 200 and so the equation is y = 7.5*x + 200.