Final answer:
Sequential percentage changes on a value must be calculated step by step. The final results for the given scenarios are evaluated based on increases and decreases applied one after the other, demonstrating how initial changes impact the subsequent ones and the final value.
Step-by-step explanation:
When evaluating scenarios with sequential percentage changes, it is critical to apply the changes step by step. Let's analyze each scenario provided:
- A. THIN: Starting with 100, a 50% increase makes it 150. Then a 33% decrease (which is 49.5) results in 100.5, which is greater than the original value of 100.
- B. CI: After a 50% decrease (now 50), a 75% increase on that (which is 37.5) gives 87.5, which is less than the original 100.
- C. Starting with 100, a 100% increase doubles it to 200. Then a 50% decrease (half) brings it back to the original value, 100.
- D. A $10 decrease followed by a $15 increase results in a net increase of $5, therefore the final result is greater than the original value.
- E. A 25% increase on 100 gives 125. A subsequent 20% decrease (which is 25) brings the final value down to 100, which is the same as the original value.
Understanding how to compute the effects of percentage changes and combining them is a valuable skill when interpreting graphs and displaying data graphically, which is not just about changing the length of the axes but also involves modifying the scale to represent the data accurately.