Final answer:
The current height of the feather after t seconds can be represented by the equation h = 45 - 4t, where h is the height in feet and t is time in seconds.
Step-by-step explanation:
The equation that represents the current height of the feather, h, after t seconds is h = h0 - v0t, where h0 is the initial height from which the feather is dropped, and v0 is the constant speed at which the feather falls.
Given that the feather is dropped from a height of 45 feet and falls at a constant speed of 4 feet per second, the equation can be formulated as h = 45 - 4t.
It's important to note that this situation is an idealization because, in reality, the feather would experience air resistance and would not fall at a constant speed. However, since the question asks us to ignore such factors, we use a simple linear equation to represent the feather's descent.