GRAPHS, FUR1 2005 VCAA 7 MC

The relationship between the variables `a` and `b` as shown in the graph above is

A. `b = a^2`

B. `b = 2a^2`

C. `b = 2a`

D. `a = 2b`

E. `a^2 = 2b`

Show Answers Only

`B`

Show Worked Solution

`a^2\ text(and)\ b\ text(has a linear relationship)`

`text(from the graph.)`

`:.\ b = ka^2`

`text(Sub)\ (2, 4)\ text(into)\ a^2 = kb`

`text(where)\ a^2 = 2, b = 4`

`=> B`