A set of weights includes a`20`lb barbell and`6`pairs of weight plates. Each pair of plates weighs `30` lb. If`x`pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by
What is the domain & range of the function for this situation?
The domain of the function is the possible values for the number of pairs of plates that can be added. Since the description states that there are 6 pairs of plates, the maximum number of pairs that can be added is 6. Therefore, the domain is {0, 1, 2, 3, 4, 5, 6}.
The range of the function is the possible total weights of the barbell and plates that can be obtained. The weight of the barbell is 20 lb and each pair of plates weighs 30 lb. Therefore, the possible weights are: 20, 50, 80, 110, 140, 170, 200. So, the range is {20, 50, 80, 110, 140, 170, 200}.