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=250 132.5tw=250 132.5t represents the relationship between the quantities in this situation, where ww is the weight, in grams, of the filled box and tt the number of shirts in the box. name two possible solutions to the equation w=250 132.5tw=250 132.5t . what do the solutions mean in this situation? consider the equation 2,900=250 132.50t2,900=250 132.50t. in this situation, what does the solution to this equation tell

Answer 1

In the given scenario, the equation provides the total weight of a filled box. When t equals 1 or 2, the box weighs 382.5 and 515 grams respectively. And for the box to weigh 2,900 grams, it would need approximately 20 t-shirts.

Step-by-step explanation:

The equation w=250 + 132.5t represents the total weight of a filled box with 't' t-shirts, where each t-shirt weighs 132.5 grams and the empty box weighs 250 grams. If we substitute t=1, we get w=382.5 grams, meaning a box with one t-shirt would weigh 382.5 grams. Alternatively, for t=2, w=515 grams, so a box with two shirts would weigh 515 grams.

Considering the equation 2,900=250 + 132.5*t, we first subtract 250 from both sides to get t on one side: 2650=132.5t. Dividing by 132.5 then gives t~20, meaning that approximately 20 t-shirts are needed to make the box weigh 2,900 grams in this scenario.

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