Oliver is going to drive from his house to City A without stopping. Oliver plans to drive at a speed of 40 miles per hour, and after

Question

Oliver is going to drive from his house to City A without stopping. Oliver plans to drive at a speed of 40 miles per hour, and after driving for 3 hours, he will be 80 miles away from City A. Write an equation for the function
D
(
t
)
,
D(t), representing Oliver’s distance from City A
t
t hours after leaving his house.

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Margaret 2 weeks 2021-09-10T11:59:37+00:00 2 Answers 0

Answers ( )

    0
    2021-09-10T12:00:38+00:00

    Answer:

    D(t) = 200 – 40t

    Step-by-step explanation:

    Oliver lives some distance m away from city A. We know as he drives, he will get closer to city A, so his distance should decrease. so we are expecting a negative coefficient for t, let’s call it r.

    so we have D(t) = m – rt

    we know he is driving at 40 mph, so r=40

    D(t) = m – 40t

    we know that after driving for 3 hours, he is 80 miles from city A.

    D(3) = 80 = m – 40*3

    80 = m – 120

    200 = m

    and so we have our equation!

    D(t) = 200 – 40t

    0
    2021-09-10T12:01:13+00:00

    Answer:

    D(t)=200-40*t

    Step-by-step explanation:

    He was already travelling for 3 hours, so he travelled 3*40=120miles. Total distance between his house and city A is 120+80=200miles. And he is travelling 40m/h. So I think this function represent his distance from city A depending how much time he was travelling (t).

    D(t)=200-40*t

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