Final answer:
The correct multiplication equation that represents Mario's model of 400 + 80 + 2 times 8 is 8 x 482 = 3856, which corresponds to answer choice (d).
Step-by-step explanation:
The question asks which multiplication equation represents the model that Mario made to find the product of a 3-digit number and a 1-digit number. The model given is 400 + 80 + 2 times 8. To find the proper multiplication equation that corresponds to this model, each part of the model must be multiplied by the single-digit number, which in this case is 8.
To start, the hundreds place is 400, and 400 times 8 equals 3200. Next, the tens place is 80, and 80 times 8 equals 640. Lastly, the ones place is 2, and 2 times 8 equals 16. Adding all these products together gives 3200 + 640 + 16 which equals 3856.
Therefore, the multiplication equation that represents Mario's model is 8 x 482 = 3856, which is answer choice (d).