Find Expontntial Model that fits the points shown in the graph of table01510102841.jpg

Anish Buchanan 2020-12-17 Answered

Find Expontntial Model that fits the points shown in the graph of table
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Expert Answer

odgovoreh
Answered 2020-12-18 Author has 107 answers

Let us consider the following exponential model
y=aex
Now, with given point (0,5), the equation becomes
5=aeb(0)
5=ae0
Therefore,
a=5
With the given point (4,1) and a=1, the equation becomes
1=5eb(4)
Dividing both sides by 5
15=e4b
Taking natural logarithm to the base e
ln15=lne4b
Using the inverse property lnex
ln15=4b
Therefore,
b=ln154
b=0.4024
Hence, the equation of the curve with a=5 and b=0.4024 is y=e0.4024x

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