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Connecting exponential graphs with contexts


A computer is sold for a certain price and then its value changes exponentially over time.
The graph describes the computer's value (in dollars) over time (in years).
A graph with time, in years, on the horizontal axis and value, in dollars, on the vertical axis. A decreasing exponential function passes through the point (0, 500) and the point (1, 250).
What was the computer's initial price?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi