Final answer:
Function A has a greater initial value compared to Function B. The initial value for Function A, identified by its y-intercept, is 9, while the initial value for Function B is 5, represented by the equation y = 3x + 5.
Step-by-step explanation:
The question asks which of two linear functions has the greater initial value. Function A's initial value is not explicitly given, but based on the details provided in the question, we know that its y-intercept is 9. This is the value of y when x is 0, and it's typically represented as the 'b' term in the equation of a straight line, y = mx + b.
Function B is described by the equation y = 3x + 5, meaning its y-intercept is 5. With this information, we can conclude that Function A has a greater initial value because 9 is greater than 5. Therefore, Function A has the greater initial value because the initial value for Function A is 9 and the initial value for Function B is 5.