An empty shipping box weighs 300 grams the box is then filled with t shirts each t shirt weighs 100 grams the equation 100t + 300 = w represents the relationship between the quantities in this situation where is the weight im grams of the filled box and number if shirts in the box. Select all possible solutions for (t, w) to the equation 100t + 300 =w

Step-by-step explanation:

Given the equation of the weight of an empty shipping box expressed as:

100t + 300 = w

We are to select all possible solutions for (t,w) to the equation 100t + 300 =w. From the equation the input variable is t which serves as the DOMAIN while the output variable is w which serves as the RANGE. To get the possible of t, we will need to find the values of t that will make the function to exist. Since the number of t shirts are always positive, this means that the value of t exists on all positive real numbers. Hence the Domain is expressed as:

Domain: [0, ∞)

Since the weight w must also be positive, the lowest value of w we can get it at when t = 0. Substitute into the equation:

100t + 300 =w

100(0) + 300 = w

300 = w

w = 300

Hence the minimum output (weight) that we can have is 300, the Range of the expression will be expressed as:

Range: [300, ∞)