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The chart shows the cost of tuition at a certain state univesity. Model the data in the chart with a linear fuction ,using the point (1,10129) and (3,11400). Predict the cost of college tution in 2004-2005.

College Year,x | Estimated Tuition,y |

1997-1998,0 | $9587 |

1998-1999,1 | $10129 |

1999-2000,2 | $10727 |

2000-2001,3 | $11400 |

2001-2002,4 | $12125 |

What is the linear model for the data?

Y=

Please Help and thank you

Guest Jun 4, 2017

#1**0 **

We want the equation of a line that passes through (1, 10129) , and (3, 11400) .

slope = (change in y's) / (change in x's)

slope = (10129 - 11400) / (1 - 3)

slope = (-1271) / (-2)

slope = 635.5

So, the equation of this line is

(y - 10129) = 635.5(x - 1)

y - 10129 = 635.5x - 635.5

y = 635.5x - 635.5 + 10129

y = 635.5x + 9493.5

To predict the cost of tuition in 2004-2005, we want to know what y equals when x matches the year 2004 - 2005.

The x value for the year 2001 - 2002 is 4

The x value for the year 2002 - 2003 is 5

The x value for the year 2003 - 2004 is 6

The x value for the year 2004 - 2005 is 7

So..we want to know what y equals when x equals 7.

Plug in 7 for x and solve for y.

y = 635.5(7) + 9493.5

y = 4448.5 + 9493.5

y = 13942

So, our line predicts the cost of tuition will be $13,942 in the school year 2004 - 2005.

*edit*

Here is a graph of the line with all the points on it:

hectictar Jun 4, 2017