Question

Linear Inequalities

Date from the U.S. Department of Agriculture indicates that the model y=4.35 x+22.84 is useful for predicting the average number of dollars earned per 100 pounds for beef,y, between 1999 and 2006 (x=0 corresponds to 1990). Assuming this model holds for year before 1999 and years after 2006,

a.In what years were the dollars earned per 100 pounds less than 70?
b.In what years were the dollars earned per 100 pounds greater than 88?

Answer 1

A).

70=4.35x+22.84
47.16=4.35x
x = 10.84 --------> If x=0 is 1990 then x= 10 is 2000
So x=10.84 is mid way through the year 2000
So I would say the years before 2000

Answer 2

B).

88=4.35x+22.84
65.16=4.35x
x= 14.98 -----> If x=0 is 1990 then x=14 is 2004
So x=14.98 is at the very end of the year 2004
I would say the years 2005 and after.

Answer 3

exactly wat i had.thanks

Answer 4

:)

Answer 5

that also agrees with what I got, assuming that the yield goes in yearly steps, and is not continuous.

Answer 6

Good! :D