Question

Box of T-shirtsAn 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 + 132.5T 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.5. Name two possible solutions to the equation W = 250 + 132.5T. What do the solutions mean in thissituation?T=2W=515T=1(1 tshirt2,046. Consider the equation 2,900 = 250 + 132.50T. In this situation, what is the solution to the equation andwhat does the solution tell us?

Answer 1

1. Name two possible solutions to the equation W = 250 + 132.5T. What do the solutions mean in this situation?

As you can see the weight of the box is given by:

W = 250 + 132.5T

So using this equation we can find the total weight given x number of t-shirts, for example: Suppose we want to know the total weight if the number of t-shirts is 50:

T= 50:

W = 250 + 132.5(50) = 250 + 6625 = 6875g

In the same way if we know the weight, we can determine the total number of t-shirts, for example, suppose the total weight is 5000g:

5000 = 250 + 132.5T

Let's solve for T:

Subtract 250 from both sides:

5000-250 = 132.5T

4750 = 132.5T

Divide both sides by 132.5:

4750/132.5 = T

38.849 = T

so we can conclude that there were approximately 39 t-shirts

6. Consider the equation 2,900 = 250 + 132.50T. In this situation, what is the solution to the equation and what does the solution tell us?

Basically they are telling us that the weight of the box in this case is 2900:

W = 2900

2900 = 250 + 132.5T

So, we can find the total number of t-shirts in the box solving the equation for T:

Subtract 250 from both sides:

2900 - 250 = 132.5T

2650 = 132.5T

Divide both sides by 132.5:

2650/132.5 = T

20 = T

T = 20

This solution tell us that there were 20 t-shirts in the box