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The function D(t) defines a traveler's distance from
home, in miles, as a function of time, in hours.
D(t) =
300t + 125,
875,
75t + 612.5,
0 ≤t <2.5
2.5 ≤t≤ 3.5
3.5 Mark this and return
Which times and distances are represented by the
function? Select three options. 4
The starting distance, at 0 hours, is 300 miles.
At 2 hours, the traveler is 725 miles from home.
At 2.5 hours, the traveler is still moving farther 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.

Respuesta :

ashishdwivedilVT

Three selected options are as follows:

  • 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.

What is Distance ?

Distance is a numerical measurement of how far apart objects or points are. In Physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

Here, put the values in option substitute  in given equation D(t)

Option 1: At t = 0 hour,

              D (0) = 300 X 0 + 125 = 125 ≠ 300    Option Incorrect

Option 2 : At t = 2 hours,

                D(2) = 300 X 2 + 125 = 725  Option Correct.

Option 3: At t = 2.5 hours,

               D(2.5) = 875  Option Incorrect

Option 4: At t = 3 hours,

               D(3) = 875 Option Correct

Option 5: At t = 6 hours,

                D(6) = 75 X 6 + 612.5 = 450 + 612.5

                        = 1062.5 miles  Option Correct

Thus, Option two, four and five are correct.

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