Consider two variables that change over time, which we will denote as Numerator and Denominator. Consider also a combination of the two variables, denoted as Ratio, formed by the formula: a. If both...

Consider two variables that change over time, which we will denote as Numerator and Denominator. Consider also a combination of the two variables, denoted as Ratio, formed by the formula:

a. If both Numerator and Denominator are increasing over time, what must be true if Ratio is to rise over time? b. If both Numerator and Denominator are decreasing over time, what must be true if Ratio is to rise over time? c. If Ratio is not changing over time, what must be true about the behavior of Numerator and Denominator over time, and relative to each other?