Final answer:
The difference in height between Kay's and Sam's balls as polynomials demonstrates the Additive Property, which allows for the subtraction of one polynomial from another to calculate the change in height over time.
Correct option is A.
Step-by-step explanation:
The question asks about the difference in height between two balls thrown at the same time, one dropped from a height and the other thrown upwards. The heights of the balls are given as polynomial equations and we are asked which property the difference of these polynomials demonstrates. The difference can be represented as (-16t + 5) - (-16t² + 24t + 3).
When we calculate this difference, we are combining the two polynomials by the operation of subtraction, which is an arithmetic operation. The property that allows us to combine these polynomials is known as the Additive Property. It states that for any two real numbers or algebraic expressions a and b, the sum a + b is a real number or algebraic expression.
In this case, the Additive Property enables us to subtract one polynomial from another, obtaining a new polynomial that represents the difference in height between the two balls at any time t. So, the correct answer to the question is B. Additive Property.
Correct option is A.