Final answer:
To write an equation that represents the cost to order x T-shirts, we can use the given information and solve a system of equations to find the values of the fixed rate and the additional charge per shirt. Substituting these values into the equation y = A + Bx gives us the equation that represents the cost to order x T-shirts.
Step-by-step explanation:
To write an equation that represents the cost to order x T-shirts, we need to determine the fixed rate and the additional charge per T-shirt. We can use the given information to set up two equations:
Bob paid $277.50 for 25 shirts, so the equation would be 277.50 = A + B(25), where A is the fixed rate and B is the additional charge per shirt.
Sandra paid $362.50 for 35 shirts, so the equation would be 362.50 = A + B(35).
We can solve this system of equations to find the values of A and B, and then substitute these values into the equation y = A + Bx to form the equation that represents the cost to order x T-shirts.