Question

Write an exponential model given the two points (6,120) and (7,230)

Answer 1

Answer:

hhhhhhh

Step-by-step explanation:

Answer 2

Answer:

  f(x) = 120(23/12)^(x-6)

Step-by-step explanation:

One way to write the model is ...

  f(x) = f(x1)·(f(x2)/f(x1))^((x -x1)/(x2-x1))

Filling in the given numbers, this is ...

  f(x) = 120·(230/120)^((x-6)/(7-6))

  f(x) = 120(23/12)^(x-6)

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Comment on this model

This could be written in the form ...

  f(x) = a·e^(bx)

but the constants "a" and "b" would be approximations to their irrational values. We have elected to write the model with exact values in a form that reproduces the given two points exactly.