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We have been given that in 1983, the per capita consumption was 39.7 pounds, and in 1989 it was 47 pounds.
Let us assume t=0 corresponds to year 1980.
Hence, we can express the given information as ordered pairs as (3,39.7) and (9,47).
We can to find a linear function passing through these points. Let us first find slope of the linear function:
We can write the required linear function as:
Upon simplifying this, we get:
In order to find per capita consumption in 1995, we need to substitute t=15 in this function.
Therefore, we would expect the per capita consumption of chicken in 1995 to be 54.3.