Find equations for exponential functions that pass through the pairs of points given Exercise. (Round all coefficients to 4 decimal places when necessary.) HINT [See Example 2.]
Example 2:
Find an equation of the exponential curve through (1, 6.3) and (4, 170.1).
Solution We want an equation of the form
Substituting the coordinates of the given points, we get
If we now divide the second equation by the first, we get
Now that we have b, we can substitute its value into the first equation to obtain
We have both constants, A = 2.1 and b = 3, so the model is
Through (2, 36) and (4, 324)
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