Solve.The number of farms in a certain state has declined continually since 1950. In 1950, there were 84,461 farms and in 1995 that number had decreased to 23,496. Assuming the number of farms decreased according to the exponential model, 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.
A. k = -0.027 ; P(t) = P0e-0.027t
B. k = -0.032 ; P(t) = P0e-0.032t
C. k = -0.030 ; P(t) = P0e-0.030t
D. k = -0.028 ; P(t) = P0e-0.028t
Answer: D
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