Final answer:
The minimum number of additional test cases needed to ensure full coverage of all valid input equivalence partitions is 3.
Step-by-step explanation:
In this case, the minimum number of additional test cases needed to ensure full coverage of all valid input equivalence partitions is 3 (option C).
To ensure full coverage, we need to test all possible combinations of hours and intensity. In this scenario, we have 3 hours partitions (below 3 hours, 3 to 6 hours, and above 6 hours) and 4 intensity partitions (very low, low, medium, and high).
So, to cover all the valid input equivalence partitions, we will need at least 3 x 4 = 12 test cases. Since we already have 3 test cases given in the question, we need an additional 12 - 3 = 9 test cases. However, the question asks for the minimum number of additional test cases, so the answer is 3 (option C).