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Question 478771: Number of Farms
The number N of farms in the united States has declined continually since 1950. In 1950 there were 5,650,000 farms and in 2004 that number had decreased to 2,110,000.
A. Find the value of k, and write an exponential function that describes the number of farms after time t, in years, where t is the number of years since 1950.
B. estimate the number of farms in 2006 and 2009?
Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! year
1950 5650000 farms
2004 2110000 farms
Difference
54 -3540000
Increase in life expectancy per year = -3540000 / 54 = -65555.56
K(t)= 5650000 + -65555.556 t
2006 t= 56
K(t)= 5650000 + -65555.556 * 56
K ( 56 )= 1978888.89 farms
In 2006 it is expected to be 1,978,889
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