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

The function w gives the average number of acres per farm in the United States in terms of the number of years since 1950. What does the expression omega(11) = 301 represent? In the year 301, farms had an average of 11 acres In the year 2251 there will be an average of 11 acres per farm In farms have a total of 301 acres In the year 1961 farms had an average of 301 acres None of the above Use function notation to represent the average number of acres per farm in the year 1944. Use function notation to represent the change in the average number of acres per farm from 1927 to 1981.

Solution

Function w gives avg. no. of acres per farm from year 1950

a) So, w(11) = 301

represents x = 11 i.e. 1950 +1 = 1961 the average no. acres per farm is 301

Option 4

b) Funtion notation 1944 = 1950 -6 = 1944 : w( -6)

c) 1927 correseponds to x = 1927- 1950 = -23

function : w( -23)

   1981 corresponds to x : 1981 - 1927 = 54

function : w (54)