other way, i drew curved points
oh right, i drew sharp points for that and got full marks

Ok, now you're getting me worried. I remember having curved, hyperbolic lines in my exam! Were the lines supposed to be straight? I had distinct sharp points at the 1,3,5 seconds though.... Do you reckon they will pay me the mark? T_T Wait a minute, isn't the "curved" answer "more" correct than the others? 
hmm, well, technically yes, the graph of the current versus time graph, will be a hyperbola, hence so will the power versus time
but youve also got to consider that the brightness against power graph is not linear either
in fact, here it is
http://www.flickr.com/photos/therontrowbridge/5322251604/that function to me looks quite hyperbolic, so using composite functions, yes, the brightness versus time should be a linear graph
but hmm, sharp points are technically right

so you should get a mark i guess
also to back up my point, its a composite of a positive and negative hyperbola, which means you should end up with a line of opposite gradient (: