Maths-
SAT
Easy

Question

E = 18,000 - 2,000t
V = 18,000(0.85)t
The given equations are two different models that can be used to find the value, in dollars, of a particular car t years after it was purchased. Which of the following statements correctly compares the values of E and V for 0 < t < 9 ?

  1. E is always less than V.
  2. E is always greater than V.
  3. E is initially greater than V but eventually becomes less than V.
  4. E is initially less than V but eventually becomes greater than V.

The correct answer is: E is initially greater than V but eventually becomes less than V.


    t
    E
    V
    0
    18000
    18000
    1
    16000
    15300
    2
    14000
    13005
    3
    12000
    11054.25
    4
    10000
    9396.1125
    5
    8000
    7986.69
    6
    6000
    6788.69
    7
    4000
    5770.38
    8
    2000
    4904.82
    9
    0
    4169.10
    We sea initially E is greater than V, later V is greater than E.

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