Answer:
Part a) The slope is equal to [tex]m=21.2\frac{\$}{year}[/tex]
Part b) The linear equation is equal to [tex]y=21.2x+3,090[/tex]
Part c) The tuition would be [tex]\$3,238.4[/tex] 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
[tex]x=0\ years[/tex]
For the year 2,015
[tex]x=(2,015-2,010)=5\ years[/tex]
so
[tex]A(0,3,090), B(5,3,196)[/tex]
Calculate the slope
[tex]m=\frac{(3,196-3,090)}{(5-0)}=21.2\frac{\$}{year}[/tex]
step 2
Find the linear equation
with the slope m and the point A find the linear equation
[tex]y-y1=m(x-x1)[/tex]
substitute the values
[tex]y-3,090=21.2(x-0)[/tex]
[tex]y=21.2x+3,090[/tex] -------> 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 [tex]x=(2,017-2,010)=7\ years[/tex]
substitute in the linear equation
[tex]y=21.2(7)+3,090=\$3,238.4[/tex]
