Final answer:
The equation to model the total amount Robert spent on iPads and shipping is 495i + 29.95 = 1,514.95, where i represents the number of iPads.
Step-by-step explanation:
To write an equation modeling the scenario where Robert is buying iPads online at $495 each, plus a $29.95 shipping fee, and he spent a total of $1,514.95, we need to incorporate the cost per iPad, the shipping fee, and the total amount spent. Let i represent the number of iPads Robert bought. The cost of the iPads alone would be 495i (since each iPad costs $495). The shipping fee is a one-time charge of $29.95, regardless of the number of iPads bought. Therefore, the equation representing the total cost would be:
495i + 29.95 = 1,514.95
To solve for i, we would subtract the shipping fee from the total amount spent and then divide by the cost per iPad:
i = (1,514.95 - 29.95) / 495
By solving this equation, we can find the number of iPads that Robert bought.