The distance traveled, in miles, as a function of time, in hours, is defined by d(t). d(t) = which times and distances are represented by the function? check all that apply.
the starting distance, at 0 hours, is 300 miles.
by 2 hours, the distance traveled is 725 miles.
at 2.5 hours, the distance traveled is 875 miles.
at 3 hours, the distance is constant, at 880 miles.
the total distance traveled in 6 hours is 1,062.5 miles.

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The correct options are:
(b) By 2 hours, the distance traveled is 725 miles.
(d) At 3 hours, the distance is constant, at 880 miles.
(e) The total distance traveled in 6 hours is 1,062.5 miles.

Explanation:
At t = 2 hours, the answer would be:

D(2) = 300(2) + 125 = 725 miles (at t lies in the range of 0 and 2.5) <-- (Option b).

At t = 3 hours, the answer would be:
D(3) = 880 (since t is in the range of 2.5 and 3.5) <-- Option (d)

At t = 6 hours the answer would become:
D(6) = 75(6) + 612.5 = 1,062.5 miles (since t is in the range of 3.5 and 6) <-- Option (e).

At t=0, D(0) = 300(0) + 125 = 125 ≠ 300 (since t lies in 0 and 2.5).
At t=2.5, D(2.5) = 880 ≠ 875 (since t lies in 2.5 and 3.5)

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