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Dmitry [639]
2 years ago
12

The graph is of a function in the form p(t) = a*b^t. What is the function?

Mathematics
1 answer:
DanielleElmas [232]2 years ago
5 0

Answer:

  p(t) = 5*2^t

Step-by-step explanation:

We can solve for 'a' and 'b' using the point coordinates shown on the graph.

<h3>Setup</h3>

Substituting for (t, p(t)), the two equations we can make from the given points are ...

  p(t) = a*b^t

  5 = a*b^0 . . . . . . . (t, p(t)) = (0, 5)

  10 = a*b^1 . . . . . . . (t, p(t)) = (1, 10)

<h3>Solution</h3>

The first equation tells you ...

  5 = a

The second equation tells you ...

  10 = 5*b

  2 = b

<h3>Equation</h3>

The function is ...

  p(t) = a*b^t

  p(t) = 5*2^t

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