Final answer:
When w is directly proportional to t squared and inversely proportional to z cubed, w changes based on the relationship w equals a constant multiplied by the ratio of t squared over z cubed. So the correct statement is:A. True
Step-by-step explanation:
If w is directly proportional to t2 and inversely proportional to z3, we can express this relationship mathematically as w = k(t2/z3), where k is a constant of proportionality. This means that as t increases, w will increase as long as z remains constant. Similarly, as z increases, w will decrease provided that t remains constant. Proportionality statements are a way of describing how one quantity changes with another. In this case, w changes in response to changes in t and z in a predictable manner based on their mathematical relationship.