The concept of Rate of Change (RoC) is often presented in an Extra-Mathematical Context (EMC) which evokes subjective judgments due to interpretations of the described real-life situation and of the missing information in the problem. In this study, we investigated different learners' interpretations of several EMC problems involving RoC, with the aim to examine which aspects of the notion of RoC are prone to subjective reasoning, due to their structure or due to missing information, and which aspects are objective. We found that while the problems raised subjective thoughts for different learners, analysis of both the EMC and the mathematical concepts can help predict which aspects of the mathematics are prone to be subjective, and which are not.