Find Expontntial Model that fits the points shown in the graph of table
Find Expontntial Model that fits the points shown in the graph of table
Let us consider the following exponential model
Now, with given point (0,5), the equation becomes
Therefore,
With the given point (4,1) and
Dividing both sides by 5
Taking natural logarithm to the base e
Using the inverse property
Therefore,
Hence, the equation of the curve with
The exponential models describe the population of the indicated country, A, in millions, t years after 2010.Which country has the greatest growth rate? By what percentage is the population of that country increasing each year?
India,
Iraq,
Japan,
Russia,
The annual sales S (in millions of dollars) for the Perrigo Company from 2004 through 2010 are shown in the table.
a) Use a graphing utility to create a scatter plot of the data. Let t represent the year, with t=4 corresponding to 2004. b) Use the regression feature of the graphing utility to find an exponential model for the data. Use the Inverse Property