Answer:
[tex]y=408x+7196[/tex]
Step-by-step explanation:
x is number of years after 2010
y is number of donuts
we are given
A bakery sells 7196 donuts in 2010
So, when x=0 , y=7196
Let's assume
[tex]x_1=0,y_1=7196[/tex]
The bakery sells 9236 donuts in 2015
[tex]x_2=5,y_1=9236[/tex]
now, we can find slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
we can plug values
[tex]m=\frac{9236-7196}{5-0}[/tex]
[tex]m=408[/tex]
now, we can use point slope form of line
[tex]y-y_1=m(x-x_1)[/tex]
we can plug values
[tex]y-7196=408(x-0)[/tex]
[tex]y-7196=408(x-0)[/tex]
[tex]y=408x+7196[/tex]