Graph the given data and determine an equation for the related line. Then use the equation to answer parts (a) and (b).  Suppose college enrollment in a certain country has grown from...

Graph the given data and determine an equation for the related line. Then use the equation to answer parts (a) and (b).

 

Suppose college enrollment in a certain country has grown from approximately 14.3 million in 1996 to 17.5 million in 2001.

(a) Calculate the college enrollment for 1997.

(b) Predict the college enrollment in 2009.

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(a) Calculate the college enollment in 1997.

The college enrollment was ______ million students.

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted on

For our graph we will choose number of years as x-axis and number of collage enrollment as y-axis.

Lets choose 1996 as the x=0 year and rest will have increments of 1 by 1.

 

When x = 0 ;`y =14.3xx10^6`

When x = (2001-1996) = 5 ; `y= 17.5xx10^6`

We have only two points in the data table. So we will assume this as a linear relationship.

We can write the equation of a linear graph as ;

y = mx+c

 

m = (y2-y1)/(x2-x1)

    = `(17.5xx10^6-14.3xx10^6)/(5-0)`

    = `6.4xx10^5`

 

c is the y value when x=0

So c= 14.3xx10^6

 

So the equation of the graph is;

`y= 6.4xx10^5*x+14.3xx10^6`

 

If you take y in millions w can write the above equation as;

y = 0.64*x+14.3

Graph is shown below.

 

a)Collage enrollment at 1997 = 0.64*(1997-1996)+14.3 million

                                          = 14.94 million

 

b)collage enrolment at 2009 = 0.64*(2009-1996)+14.3 million

                                          = 22.62 million

 

 

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