Ivy tech tuition was $3090 in 2010 and $3196 in 2015. calculate the slope, then create a linear model that would predict tuition for any year after 2010. assuming the linear trend remained constant, what would tuition be in 2017?

Part a) The slope is equal to

Part b) The linear equation is equal to

Part c) The tuition would be in 2,017

Step-by-step explanation:

step 1

Find the slope m

Let

x-----> the year after 2,010

y-----> the tuition

we have

For the year 2,010

For the year 2,015

so

Calculate the slope

step 2

Find the linear equation

with the slope m and the point A find the linear equation

substitute the values

-------> linear equation that would predict tuition for any year after 2010

step 3

Assuming the linear trend remained constant, what would tuition be in 2017

so

For

substitute in the linear equation

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.