An empty shipping box weighs 250 grams. The box is then filled with T-shirts. Each T-shirt weighs 132.5 grams. The equation `W=250+132.3T` represents the relationship between the quantities in this situation, where W is the weight, in grams, of the filled box and T the number of shirts in the box. Consider `W=1045` and `T=6`. Is this a solution to the equation? If it is a solution, what does the solution mean in context?

1. W = 1045, T = 6 It is a solution.

2. The solution indicates that the weight of the box will increase to 1045 g if 6 shirts are placed in the box.

Step-by-step explanation:

From the question given, the following data were obtained:

W = 250 + 132.5T

W = 1045

T = 6

Where:

W is the weight of the box when filled with shirts.

T is the number of shirts in the box.

1. Determination of where W = 1045 and T = 6 are solutions to the expression.

To justify if W = 1045 and T = 6 are solutions, we shall simply solve for W when T = 6. This is illustrated below:

W = 250 + 132.5T

T = 6

W = 250 + 132.5(6)

W = 250 + 795

W = 1045

From the above calculation, we can see that W = 1045 when T = 6.

Therefore, W = 1045 and T = 6 are solutions to the equation.

2. Meaning of the solution to the equation.

From the question given, we were told that the empty box weighs 250 g.

From the calculations made above we can see that weight of the box increases to 1045 g when 6 shirts were placed into the box. Therefore, the solution indicates that the weight of the box will increase to 1045 g if 6 shirts are placed in the box.

g

step-by-step explanation: