Question

a house was valued at $287,000 at the beginning of an economic recovery. the houses value is expected to increase at a rate of 6% per year. what is the possible domain? a all real numbers b only negative numbers (-1, -2, -3, ...) c positive real numbers (0, 0.5, 1, 2, ...) d irrational numbers

Explanation:

The problem is about the domain of a function modeling the value of an account over time. Time (t) in this context represents the number of years since the beginning, so it can't be negative (you can't have negative years) and should be a non - negative real number (including zero for the start time and positive real numbers for future years). Option A: All real numbers would include negative time which doesn't make sense. Option B: Only negative numbers is incorrect as time can't be negative. Option D: Historical numbers is not a standard term for the domain here. Option C: Positive real numbers (and zero, as at t = 0 it's the beginning) is the correct domain as t represents the number of years after the beginning, so t ≥ 0 (non - negative real numbers, which includes positive real numbers and zero).

Answer:

C. Positive real numbers (0, 0.5, 1, 2, ...)