step 1
Graph the given points
(0, 5)
(0.5,5.7)
(1, 6.5)
(1.5,6.7)
(2,8.5)
(2.5,9.5)
using a graphing tool
see the attached figure
Find out the equation of the line that best represents this situation
we take the points
(0,5.0) and (2, 8.5)
Find out the slope
m=(8.5-5.0)/(2-0)
m=3.5/2
m=1.75
the equation of the line is
y=1.75x+5
therefore
For x=5.0 kg
substitute
y=1.75(5.0)+5
y=13.75 cm