Final answer:
George completes 6 problems in 30 minutes and his homework has 30 problems. By dividing 30 problems by 6, we find there are 5 sets of problems. Multiplying 5 sets by 30 minutes per set, we get that George will take 150 minutes to complete his homework.
Step-by-step explanation:
To determine how many minutes it will take George to complete his homework, we first need to understand the rate at which he completes the problems. George completes 6 problems in 30 minutes. Since the homework contains 30 problems, we can set up a proportion to find out how long it will take him to complete all the problems.
Firstly, we determine how many sets of 6 problems there are in 30 problems. We do this by dividing 30 by 6, which equals 5. This means there are 5 sets of 6 problems in the entire homework. Next, since one set of 6 problems takes 30 minutes, we multiply the number of sets (5) by the time it takes for one set (30 minutes). Therefore:
5 sets × 30 minutes per set = 150 minutes
So, the correct answer is 150 minutes, which corresponds to option A).