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

Anish Buchanan

Anish Buchanan

Answered question

2020-12-17

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

Answer & Explanation

odgovoreh

odgovoreh

Skilled2020-12-18Added 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

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?