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3 years ago

13

Find the missing value for the exponential function represented by the table below.

1 answer:

Virty [35]3 years ago

3 0

The common ratio of sequential values is
18.2/26 = 0.7

The missing value is
12.74*0.7 = 8.918

The appropriate choice is ...
d. 8.918

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Answer:

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Step-by-step explanation:

Given

$y = \frac{340110}{1 + 377e^{-0.259t}}$

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Year 1998 means that:

$t =1998 - 1980$

$t =18$

So, we have:

$y = \frac{340110}{1 + 377e^{-0.259*18}}$

$y = \frac{340110}{1 + 377e^{-4.662}}$

$y = \frac{340110}{1 + 3.562}$

$y = \frac{340110}{4.562}$

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Solving (b): 2003

Year 2003 means that:

$t = 2003 - 1980$

$t =23$

So, we have:

$y = \frac{340110}{1 + 377e^{-0.259*23}}$

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Year 2006 means that:

$t = 2006 - 1980$

$t =26$

So, we have:

$y = \frac{340110}{1 + 377e^{-0.259*26}}$

$y = \frac{340110}{1 + 377e^{-6.734}}$

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Answer:

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