The times and distances are represented by the function are
- at 2 hours, the traveler is 725 miles from home.
- at 3 hours, the distance is constant, at 875 miles
- the total distance from home after 6 hours is 1,062.5 miles.
<h3>What is distance?</h3>
The distance is the length of path travelled by a body when moving with some speed and taking time t.
Given function is
D (t) = 300t +125 for 0≤t<2.5
D (t) = 875 for 2.5 ≤t≤3.5
D(t)= 75t +612.5 for 3.5<t≤6
According to the given function, for 2 hours, the traveler will travel from home,
D (2) = 300x2 +125 = 725 miles.
For time between 2.5 to 3.5 hr, the distance is constant i.e. 875 miles.
For total time 6hr, the distance travelled will be
D(6) = 75 x 6 +612.5 = 1062.5 miles.
Thus, the correct options are picked up.
Learn more about distance.
brainly.com/question/15172156
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