SOLUTION: The unemployment rate in a certain country was 5.1% in January 2004 and 7.5% in January 2005. (a) Find a linear function which fits these data using the number of years since Janu

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The unemployment rate in a certain country was 5.1% in January 2004 and 7.5% in January 2005. (a) Find a linear function which fits these data using the number of years since Janu      Log On


   



Question 1127053: The unemployment rate in a certain country was 5.1% in January 2004 and 7.5% in January 2005.
(a) Find a linear function which fits these data using the number of years since January 2004, t, as the independent variable and the unemployment rate, U, as the dependent variable. (Do not convert rates into decimals.)
c) Use this model to predict the unemployment rate in January 2006.
*I am confused as to do I set the equation up such as y=mx+b, or is there another formula that should be used?

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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The unemployment rate in a certain country was 5.1% in January 2004 and 7.5% in January 2005.
(a) Find a linear function which fits these data using the number of years since January 2004, t, as the independent variable and the unemployment rate, U, as the dependent variable. (Do not convert rates into decimals.)
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Assuming the instructions mean, not convert the percents into their equivalents as decimals,

then two points of a line (t, U) are (0, 5.1) and (1, 7.5).
You want equation to fit form U=mt%2Bb.

U=%28%287.5-5.1%29%2F1%29t%2B5.1
highlight%28U=2.4t%2B5.1%29