Springs

This task is about identifying patterns in data.
Tracey had been investigating how much a spring stretched when various masses were attached to it.
Here are the results of her investigation:
Mass (g)
Length of stretch (mm)
50
100
150
200
20
40
60
80
 
She graphed her results like this:
graph of stretch and mass

Question 2Change answer

a)  Use the graph to work out the length of stretch for
i)  60 g  mm
ii)  160 g   mm

Question 2Change answer

b)  What is the mass if the stretch is 45 mm? g

Question

c)  There is a simple relationship between mass and stretch. What is the relationship?

    • stretch = 0.4 × mass

    • mass = 0.4 × stretch

    • stretch = 20 + mass

    • mass = 20 + stretch