Final answer:
Dylan's estimate for the first digit in the quotient of 3692 divided by 48 is 'D) 3' because 3692 divided by 50 is approximately 73.84, and considering slight adjustments, the next digit after the first digit 6 in the quotient is a 3.
Step-by-step explanation:
The question asks us to determine Dylan's estimate for the first digit in the quotient of 3692 ÷ 48. To find the estimate, we should simplify the division problem to make it easier to calculate mentally. We can round 48 up to 50 to facilitate this process. If we divide 3692 by 50 instead of 48, we get 3692 ÷ 50 which is roughly 73.84. The first digit of this quotient is 7. However, since we rounded up the divisor from 48 to 50, our estimate will be slightly high. Therefore, the actual first digit of the quotient is likely one less than our estimate, giving us a 6.
To answer the multiple-choice question, we are interested in the digit that would appear after the 6 in the quotient if we were to write it out completely. Since we estimated the quotient as approximately 74 and the actual quotient is slightly less, we have 6 and the next digit in the tens place is 7, which implies that the answer to the question 'What is Dylan's estimate?' would be D) 3 because it would be the digit following the 6 in the quotient.