Final answer:
To find the value of 'a' for a data set representing a linear function with a rate of change of +5, we need the actual data set values. Without them, we cannot correctly determine the value of 'a'. The information provided deals with physics and acceleration, which is not applicable to this mathematics question about linear functions.The correct option is 2.
Step-by-step explanation:
The question asks us to determine the value of a for a data set to represent a linear function with a rate of change of +5. However, the information provided relates to acceleration in physics, and the provided snippets refer to motion under constant acceleration—this terminology and context are not directly applicable to the question about a linear function in mathematics.
To answer the question correctly, we would need the values from the table that represent the linear function in question. Since that data is not provided, we cannot accurately determine the value of a for the linear function's rate of change. For a function to be linear, the rate of change (or the slope) must be constant. As such, the rate of change of +5 suggests that for every 1 unit increase in the input (x-value), the output (y-value) increases by 5 units. Without the actual data, we cannot ascertain which of the choices given for a would satisfy this condition.