Final answer:
The unit rates for the given equation 'Y = 1/4x + 2' are 1/4 for Function I, indicating Y increases by 1/4 unit for each unit increase in x, and 2 for Function II, representing the Y-intercept.
Step-by-step explanation:
The question asks to find the unit rates for two functions described by the equation Y = 1/4x + 2. This equation is a linear equation, where the coefficient of x represents the unit rate of change of Y with respect to x, and the constant term represents the Y-intercept.
Using this information:
- Function I's unit rate is the coefficient of x, which is 1/4. This means that for every increase of one unit in x, Y will increase by 1/4 of a unit.
- Function II's unit rate can be interpreted as the initial value when x is zero, which is the constant term 2.
Therefore, the correct answer is: Function I: 1/4, Function II: 2