The value of a collectible artifact is represented by the function
In this function, represents the number of years since 2005, and represents the value of the artifact, in dollars.
Which value represents the average yearly rate of change of the value of the artifact from 2006 to 2011?
The function is:
Because represents the number of years since 2005:
The average yearly rate of change from 2006 to 2011 is:
First, find :
Now find :
Now calculate the average rate of change:
Rounded to two decimal places:
So the average yearly rate of change of the artifact's value from 2006 to 2011 is approximately:
Therefore, the correct answer is:
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