Final answer:
To round the numbers to the nearest hundred, we round up the hundreds place in 349 from 300 to 400. Then, we estimate the product as 320,000.
Step-by-step explanation:
To round the numbers to the nearest hundred, we look at the tens place. In 349, the tens digit is 4, and in 851, the tens digit is 5. Since 5 is greater than or equal to 5, we round up the hundreds place to 400 in 349. Now, we can estimate the product: 400 x 800 = 320,000. Therefore, the estimated product of 349 x 851 rounded to the nearest hundred is 320,000, which corresponds to option C.