As the weight of purchased items increases, the shipping charges increase, as shown in the table below. Weight, in oz Total Shipping Cost not more than 5 $9.50 more than 5, not more than 10 $13.25 more than 10, not more than 15 $17.00 more than 15, not more than 20 $20.75 Assuming only positive domain values, which statement is true of the graph that represents the data in the table? Beginning at 5 ounces, the graph is discontinuous at every fifth integer of the domain. The range values graphed for the set of data are $10, $14, $17, and $21. For every 1 ounce increase in weight, the total shipping cost increases by $3.75. The left side of each horizontal interval is a closed circle, and the right side is an open circle.

Question

Nancy Combs

Mathematics

14 December, 16:27

As the weight of purchased items increases, the shipping charges increase, as shown in the table below. Weight, in oz Total Shipping Cost not more than 5 $9.50 more than 5, not more than 10 $13.25 more than 10, not more than 15 $17.00 more than 15, not more than 20 $20.75 Assuming only positive domain values, which statement is true of the graph that represents the data in the table? Beginning at 5 ounces, the graph is discontinuous at every fifth integer of the domain. The range values graphed for the set of data are $10, $14, $17, and $21. For every 1 ounce increase in weight, the total shipping cost increases by $3.75. The left side of each horizontal interval is a closed circle, and the right side is an open circle.

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Answers (1)

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Andy Mays · Answer 1

The correct answer is beginning at 5 ounces, the graph is discontinuous every 5th integer of the domain.

It is a step function; there is not a continuous increase between values. The shipping level is fixed for each price, then jumps to the next tier. This will be a discontinuous graph.