The function w gives the average number of acres per farm in the United States i

Question

The function w gives the average number of acres per farm in the United States in terms of the number of years since 1950. a. What does the expression w(14) = 314 represent? In the year 1064 farms had an average of 314 acres 14 farms have a total of 314 acres In the year 2264 there will be an average of 14 acres per farm In the year 314, farms had an average of 14 acres None of the above b. Use function notation to represent the average number of acres per farm in the year 1947. c. Use function notation to represent the change in the average number of acres per farm from 1925 to 1985.

Explanation / Answer

a. Since the function w gives the average no. of acres per farm in the Unites States, in terms of the no. of years since 1950, w(14) = 314 means that in the year 1964, the farms in Unites Statews had an average of 314 acres. The 1st option is the correct answer.

b. Since the function w gives the average no. of acres per farm in the Unites States, in terms of the no. of years since 1950 and not before 1950, the no. of acres per farm in 1947 cannot be stated as a function. However, if backwards extrapolation is permitted, then the notation would be w(-3)

c. Since the function w gives the average no. of acres per farm in the Unites States, in terms of the no. of years since 1950 and not before 1950, the no. of acres per farm in 1925 cannot be stated as a function. However, if backwards extrapolation is permitted, then the notation would be w (-25) - w(35).

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