SOLUTION: Cost C of a government program escalate from 5.39 billion in 2013 to 10.64 billion in 2019. Express costs in terms of a natural exponential function and determine the annual rate o
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Question 1162157: Cost C of a government program escalate from 5.39 billion in 2013 to 10.64 billion in 2019. Express costs in terms of a natural exponential function and determine the annual rate of growth .
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the number of years after 2013, hence in 2013 
and in 2019, 
Parent function:
\ =\ ae^{bx})
We know that when , i.e. the year 2013, 
, therefore 
Billion.
And now we have
\ =\ 5.39e^{bx})
But when 
billion
So:
\ =\ \ln\(\frac{10.64}{5.39}\))
)
}{7})
Do the arithmetic to calculate the value of 
which will allow you to express the desired function and, is coincidentally the answer to the last part of your question.
John
My calculator said it, I believe it, that settles it
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