SOLUTION: The unemployment rate in a certain country was 5.1% in January 2004 and 7.5% in January 2005. Use this model to predict the unemployment rate in January 2006. *I found the mode

Question 1127187: The unemployment rate in a certain country was 5.1% in January 2004 and 7.5% in January 2005.
Use this model to predict the unemployment rate in January 2006.
*I found the model that represents the linear function: 2.4t + 5.1. And so I assumed that by subtracting 2006-2004 and plug in 2 for x would give me the estimated rate. 2.4(2) + 5.1=1.06. Can someone explain where I am going wrong?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the unemployment rate was 5.1% in janury of 2004 and 7.5% in january of 2005.
if you subtract 2004 from 2005, you will get 7.5% - 5.1% = 2.4%.
the equation is correct at 2.4 * T + 5.1
the number of years from 2004 to 2006 is 2.
you are correct by replacing T with 2.
the equation becomes 2.4 * 2 + 5.1 which is equal to 4.8 + 5.1 which is equal to 9.9.
i have no idea how you got 1.06.
i tried different things and the closest i got to 1.06 is that you divided 5.1 by 4.8 and got 1.0625.
if that's what you did, then you must have gotten confused as to what you were doing.
all you had to do was make T = 2 and apply it to to formula as shown.
2.4T + 5.1 is the same as 2.4 * T + 5.1 which results in 2.4 * 2 + 5.1 which results in 4.8 + 5.1 which results in 9.9.
the equation of y = 2.4 * T + 5.1 can be graphed by replacing T with x as shown below.
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