The local fire department calls and asks you to donate $5 to the community firefighters' fund. Believing this is a reasonable request, you agree to donate. The following month someone from the department calls and praises your "humanitarian gesture," after which you are asked if you could donate a "small amount more." You agree to donate $10. The fire department may have used a persuasion strategy called the technique.

afoot-in-the-door

Explanation:

A foot in the door technique is a method of persuasion that is aimed to make another person agree to do a larger request by having them agree to a smaller request first.

After agree to a smaller request, most people tend to develop a positive emotions because we felt that we have helped another person (doing a good thing). When we are asked to do a bigger request, we  become more inclined to agree because we unconsciously wanted the positive feeling back,.

hello,

your answer is ready

i believe its either the first or third option but i'm leaning more towards the third option:

the first excerpt makes a logical appeal, while the second excerpt makes an emotional appeal.

your pal

~papaguy