SOLUTION: In 2009 the number of vehicle sales in the United States was 10,602 thousand and in 2013 it was 15,884 thousand. a.[3 pts] Determine the average rate of change (slope) from 2009

Algebra ->  Linear-equations -> SOLUTION: In 2009 the number of vehicle sales in the United States was 10,602 thousand and in 2013 it was 15,884 thousand. a.[3 pts] Determine the average rate of change (slope) from 2009      Log On


   



Question 1147223: In 2009 the number of vehicle sales in the United States was 10,602 thousand and in 2013 it was 15,884 thousand.
a.[3 pts] Determine the average rate of change (slope) from 2009 to 2013.
b.[3 pts] If X is the number of years since 2009 and f(X) is the number of vehicles sold, find the equation of the line through these two points.
c.[2pts] Assuming f(X) is a linear function, use the equation to predict the number of vehicles sold in 2016.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The given points are:
( 0, 10602 )
( 4, 15884 )
---------------
a.
+%28+15884+-+10602+%29+%2F+%28+4+-+0+%29+
+5282+%2F+4+=+1320.5+ thousands / yr
b.
+f%28x%29+=+1320.5x+%2B+10602+
c.
+f%28x%29+=+1320.5%2A7+%2B+10602+
+f%28x%29+=+9243.5+%2B+10602+
+f%28x%29+=+19845.5+
19,845,500 vehicles
check the math