Final answer:
The function W(t) = 7.5t + 1000 is the choice that assumes an initial weight of the bucket as 1000 and a constant rate of weight being added over time at 7.5 units per time interval.
Step-by-step explanation:
The question asks for a function W(t) that models the weight of a bucket as a function of time t. We are given four options:
- (A) W(t) = 1000 + 7.5t
- (B) W(t) = 7.5t
- (C) W(t) = 7.5t + 1000
- (D) W(t) = 1000t + 7.5
Without additional context, we cannot definitively choose an option, as we need to know the initial condition (the starting weight of the bucket) and the rate of change of the weight. However, if we assume the bucket starts from rest with an initial weight, option (C), W(t) = 7.5t + 1000, seems to be the correct choice as it includes both a starting weight (1000, which could be the empty bucket weight) and a rate of change (7.5, which could be the rate at which weight is being added over time).
For example, if a bucket initially weighs 1000 units (whatever units may be applicable, such as grams, kilograms, etc.), and weight is added at a constant rate of 7.5 units per time interval, then after time t, the total weight will be the initial weight plus the added weight (7.5 x t)