*The complete question is attached in image form with this answer*
The correct options are:
(b) <span>By 2 hours, the distance traveled is 725 miles.
(d) </span><span>At 3 hours, the distance is constant, at 880 miles.
(e) </span><span>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 = </span>1,062.5 miles (since t is in the range of 3.5 and 6) <--
Option (e).
<span>
At t=0, D(0) = 300(0) + 125 = 125 </span>≠ 300 (since t lies in 0 and 2.5).
<span>At t=2.5, D(2.5) = 880 </span>≠ 875 (since t lies in 2.5 and 3.5)<span>
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