Acontest on a game show receives -25 points for each wrong answer what integer represents the change in periods after three wrong answers

To represent the change in points, you can think of it in two ways:

1.  You will go down 25 points for every wrong answer, so -25 + -25 + -25 would represent what is happening.  They are all negative, so you keeping moving down in value.  

2.  You can also think of this as 3 groups of -25. 

Both answers are -75.  The answer is negative because the change was down in points.

-75 is the integer that represents this situation.