the equation that represents Taryn’s situation
[tex]y=\frac{1}{2}x+1[/tex]
Given :
the graph shows how much sugar was in the solution at different times.
To complete the given equation , we need to find out the slope and y intercept
the equation of line is given by [tex]y=mx+b[/tex]
where m is the slope and b is the y intercept
The point where graph touches y axis is the y intercept
y intercept b =1
Now we find out slope , pick any two points from the graph
LEts pick (0,1) and (2,2)
[tex]slope=\frac{y_2-y_1}{x_2-x_1} =\frac{2-1}{2-0} =\frac{1}{2}[/tex]
slope m =1/2
So the equation of line y=mx+b becomes
[tex]y=\frac{1}{2}x+1[/tex]
Learn more : brainly.com/question/16934180