The height of a model rocket, H(t), is a function of the time since it was launched, t.What is the domain of H(t)?A.t ≤ 400B.t ≥ 0C.0 ≤ t ≤ 40D.0 ≤ t ≤ 400

The domain of a function is the set of all possible input values (in this case, time 't') which will produce a valid output (in this case, height 'H(t)').

Since time cannot be negative (you can't go back in time before the rocket was launched), and assuming the rocket doesn't stay in the air indefinitely, the domain of H(t) would be from the time the rocket is launched (t=0) until it lands.

Without additional information about the specific model rocket, we can't determine the exact time it will land. However, we can say for certain that the domain of H(t) must start at t=0, so options A and C or D could be possible.

If we knew more about the rocket's flight time, we could choose between C and D. But without that information, the best answer with the information given is B. t ≥ 0. This means the time 't' is any value greater than or equal to 0.