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Ainat [17]
3 years ago
9

Show that an exponential model fits the data. Then write a recrusive rule that models the data.

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
5 0

Answer:

<u>Exponential function:</u>

  • f(x) = abˣ

<u>Use the given data to determine the function.</u>

  • f(0) = ab⁰ = a*1 = a ⇒ a = 0.75
  • b = 2 as each of the f(n) is twice the previous one in series.

<u>The model is:</u>

  • f(n) = 0.75*2ⁿ

<u>Recursive rule to reflect this is:</u>

  • f(0) = 0.75
  • f(n) = 2*f(n-1)
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