Final answer:
The key difference between 'of' and 'more than' is that 'of' refers to a part of a whole, while 'more than' implies an additional amount compared to another value. In the context of percentages, 'of' indicates a proportionate part of a referenced value, and 'more than' indicates an increase over a referenced value. The correct answer is option C.
Step-by-step explanation:
Understanding the difference between the terms 'of' and 'more than' when dealing with percentages is essential in math. The word 'of' usually indicates a percentage of a whole, meaning a part of it.
For example, '50% of 100' means half of 100, or 50. On the other hand, 'more than' suggests an increase or excess amount in relation to another value. When we say '5% more than 100', we mean the original amount (100) plus an additional 5% (which would be 5), so the total would be 105.
Looking at our options, only option C correctly separates the usage of these terms in the context of percentages.
It states that the key word 'more than' is used to express the relative change between the referenced value and the compared value. And the key word 'of' is used to express the relative change between the referenced value and the compared value. Therefore, the correct answer is option C.