SOLUTION: For the following exercise, write a linear function to model the given data and make the indicated estimation. See Example 7. (Objective 6) Suppose that the average tuition for a

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: For the following exercise, write a linear function to model the given data and make the indicated estimation. See Example 7. (Objective 6) Suppose that the average tuition for a       Log On


   



Question 1156108: For the following exercise, write a linear function to model the given data and make the indicated estimation. See Example 7. (Objective 6)
Suppose that the average tuition for a full-time undergraduate student in a public college in 2002 was $5,370. Suppose it was $8,720 in 2012. Using the linear function model, estimate the cost (in dollars) of tuition in 2018.
$

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
2012 is 10 yrs after 2002
You are given 2 points on a straight line
( 0, 5370 )
( 10, 8720 )
Let +x+ = year - 2002
Let +y+ = tuition in dollars
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Use the general point-slope formula
+%28+y+-+5370+%29+%2F+%28+x+-+0+%29+=+%28+8720+-+5370+%29+%2F+%28+10+-+0+%29+
+%28+y+-+5370+%29+%2F+x+=+3350+%2F+10+
+%28+y+-+5370+%29+%2F+x+=+335+
+y+-+5370+=+335x+
+y+=+335x+%2B+5370+
---------------------------
In 2018:
2018 - 2002 = 16 yrs
( 16, y )
+y+=+335%2A16+%2B+5370+
+y+=+5360+%2B+5370+
+y+=+10730+
The tuition estimate for 2018 is $10,730
---------------------------------------------
check:
Here's the plot:
+graph%28+500%2C+500%2C+-2%2C+20%2C+-1500%2C+15000%2C+335x+%2B+5370+%29+