Final answer:
A cold front dropping the temperature by 40 degrees Fahrenheit is best represented by a negative integer since it indicates a decrease in temperature, typically measured below a zero point.
Step-by-step explanation:
The statement that could be represented by a negative integer is: 'Suppose a cold front blows into your locale and drops the temperature by 40.0 Fahrenheit degrees.' This statement describes a decrease in temperature, which is a scenario where negative integers are used to represent a fall below a reference point, typically zero in the context of temperature.
In contrast, spending money (such as $9 at the movies), having no money, gaining yards in football, and an increase in temperature are all scenarios commonly represented by positive integers or zero. Specifically, zero would be used for Ryan's scenario where there is no money, since zero accurately represents having nothing of something.