An alarm clock is set to ring for a total of 1.00 minute
it is placed on a spaceship moving at 0.6 c
according to mission control on earth, the alarm clock rings for:
a) 0.60 min
b) 0.64 min
c) 0.80 min
d) 1.00 min
e) 1.25 min

The relationship if time according to the speed of light can be represented using Lorentz' time-dilation equation:

T = To / sqrt( 1 - (v^2/c^2) )

Where:

T = new time = ?
To = original time = 1 minute
v = velocity = 0.6c
c = speed of light

Substituting the given values:

T = 1 / sqrt( 1 - (0.6c^2/c^2) )
T = 1 / sqrt( 1 - (0.6^2) )
T = 1.25

Therefore, the alarm clock would ring for 1.25 minutes.

Alinear relationship would look like a straight line on the graph. it could have a positive negative or 0 slope. so it could be a line potentially going in any direction but it must be perfectly straight.