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The following function gives the total value of a car in dollars, v(t), based on the number of years, t, since it was purchased: What does v(t) represent in this situation? Response area What does t = 5 represent in the context of this problem? Response area What does v(5) mean in the context of this problem? Response area Does finding v(−3) make sense in the context of this problem? Response area

1 answer

  1. What does v(t) represent in this situation?
    In this context, v(t) represents the total value of the car in dollars at a specific time t years after it was purchased. It reflects how the value of the car changes over time due to factors like depreciation.

  2. What does t = 5 represent in the context of this problem?
    The value t = 5 represents a specific point in time, which is 5 years after the car was purchased. It indicates the duration since the purchase and helps determine the value of the car at that particular time.

  3. What does v(5) mean in the context of this problem?
    v(5) represents the total value of the car in dollars exactly 5 years after it was purchased. It gives insight into how much the car is worth after that specific duration of time.

  4. Does finding v(−3) make sense in the context of this problem?
    Finding v(−3) does not make sense in the context of this problem because it implies looking for the value of the car 3 years before it was purchased. Since the car cannot have a value before its purchase, this time value (t = -3) is not applicable.