Applications with Standard Normal Distribution — Cumulative exam
Question 20 • Common Core Algebra II - MA3111 B-IC
As the weight of purchased items increases, the shipping charges increase, as shown in the table below.Weight, in ozTotal Shipping Costnot more than 5$9.50more than 5, not more than 10$13.25more than 10, not more than 15$17.00more than 15, not more than 20$20.75Assuming only positive domain values, which statement is true of the graph that represents the total cost, y, in dollars for shipping items that weigh x ounces?
Answer
A
The graph is discontinuous at x = 5, x = 10, and x = 15.
B
The range values for the set of the data are 10, 14, 17, and 21.
C
For every 1-ounce increase in weight, the total shipping cost increases by $3.75.
D
The left side of each horizontal interval is a closed circle, and the right side is an open circle.
Explanation
The shipping cost stays constant within each weight interval, then jumps when the weight passes 5, 10, or 15 ounces. At each of those values, the cost at the endpoint is the lower amount, while weights just above it have the next higher cost, so the graph is discontinuous at x = 5, x = 10, and x = 15. The cost does not increase by $3.75 for every ounce; it increases by $3.75 only when moving to the next listed weight bracket.
AI-written and checked against the verified answer.