Answer: The correct option is
(C) Cost is a fixed rate of $100 for jobs requiring more than 2 hours, up to a maximum of 6 hours.
Step-by-step explanation: We are given a graph that represents cleaning costs charged by a housekeeping service.
We are to select the statement that is TRUE of the cost function.
Option (A) is
"A cleaning time of 2 hours will cost $100."
Since there is an open circle at the point (2, 100) and a closed circle at (2, 50), so a cleansing time of 2 hours will cost $50.
Thus, option (A) is NOT CORRECT.
Option (B) is
"A cleaning time of 6 hours will cost $150."
Since there is a closed circle at the point (6, 100) and an open circle at (6, 200), so a cleansing time of 6 hours will cost $100.
Thus, option (B) is NOT CORRECT.
Option (C) is
"Cost is a fixed rate of $100 for jobs requiring more than 2 hours, up to a maximum of 6 hours."
Since there is an open circle at the point (2, 100) and a closed circle at (6, 100), so a cleansing time of more than 2 hours up to a maximum of 6 hours will cost a fixed rate of $100.
Thus, option (C) is CORRECT.
Option (D) is
" Cost is a fixed rate of $200 for jobs that require at least 6 hours."
Since there is an open circle at the point (0, 50), closed circle at (2, 50), open circle at (2, 100) and a closed circle at (6, 100).
So, the price lies between $50 and $100 for jobs that require at least 6 hours.
Therefore, the price is not fixed.
Thus, option (D) is NOT CORRECT.
Option (C) is the correct option.