Final answer:
The average a of two numbers c and d is represented as an equation a = (c + d) / 2; this aligns with the definition of an average as half the sum of the two numbers.
Step-by-step explanation:
The question refers to finding the average a of two numbers c and d. In mathematical terms, the average of two numbers is the sum of the numbers divided by two. If the average a is equal to half the sum of c and d, we can express this relationship as an equation:
a = (c + d) / 2
This equation simply states that the average is calculated by adding the two numbers together and then dividing the result by two. If we are dealing with half the sum, the equation can be further simplified. Let's analyze the equation:
(c + d) / 2 = (1/2) * (c + d)
Here, we have expressed the average as half of the sum of c and d, which aligns with the definition of an average.