Question

problem 1 - part a
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.
name two possible solutions to the equation w = 250+132.5t. what do the solutions mean in this situation?

Explanation:

Step1: Choose a value for T

Let \(T = 0\).

Step2: Calculate W

Substitute \(T = 0\) into \(W=250 + 132.5T\). Then \(W=250+132.5\times0=250\). This means when there are 0 T - shirts in the box, the weight of the box is 250 grams (just the weight of the empty box).

Step3: Choose another value for T

Let \(T = 2\).

Step4: Calculate W

Substitute \(T = 2\) into \(W = 250+132.5T\). Then \(W=250+132.5\times2=250 + 265=515\). This means when there are 2 T - shirts in the box, the weight of the filled box is 515 grams.

Answer:

Solution 1: When \(T = 0\), \(W = 250\). It represents the weight of the empty box.
Solution 2: When \(T = 2\), \(W = 515\). It represents the weight of the box with 2 T - shirts.