Question

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+132.5T 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.

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

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

Answer 1

1. W=250+132.5T
as the problem states, W = the weight of the filled box, and T = # of t=shirts. The solutions tell you the weight at different # of t-shirts. To find solutions, pick some number T for t-shirts, plug it into the equation, and evaluate the weight, W. Pick a different number T, repeat, and get another solution. Since T = # of shirts, T must be some positive whole number.

Answer 2

2. 2,​900=250+132.50T

Notice how they have replaced "W" with "2,900". This means they are setting the weight = 2,900g. if you solved this for t, you'd get the # of t-shirts to get the box to weigh 2,900g.