Final answer:
To solve 114b = 834, you guess and check to find that b equals 7, as 114 times 7 gives 798, which is the closest to 834 without going over.
Step-by-step explanation:
To solve the equation 114b = 834 using the guess, check, and revise strategy, you want to find b, the number of batches of muffins that the student can make with the given amount of chocolate chips according to Recipe 2. First, make a reasonable guess. For example, if you guess that b could be 7, you would have 114 x 7 = 798, which is less than 834. Next, check if your guess is correct by comparing it to the total number of cups available. Since 798 is less than 834, you need to revise your guess. Trying 8 now, you get 114 x 8 = 912, which is too many since it's more than 834. The correct number of batches is then between those two guesses. Therefore, the correct number of batches is 7 as we cannot make partial batches with the remaining quantity. The remaining chocolate chips are not enough for an entire batch.