A set of weights includes a20lb barbell and6pairs of weight plates. Each pair of plates weighs 30 lb. Ifxpairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x)=30x+20. Does this graph represent a discrete or continuous situation?
This graph represents a discrete situation.
This is because the number of pairs of plates added to the barbell can only be a whole number (x cannot be a fraction or decimal) since we cannot add a fraction or a fractional pair of plates to the barbell. Therefore, the x-values are discrete values, and the graph consists of distinct points rather than a continuous line.