Final answer:
No, the percent increase from 50 to 80, which is 60%, is not the same as the percent decrease from 80 to 50, which is 37.5%. The percentage change depends on the original value used for the calculation.
Step-by-step explanation:
Is the percent increase from 50 to 80 the same as the percent decrease from 80 to 50? To answer this, let's calculate the percentage change for both scenarios.
For the percentage increase from 50 to 80, we calculate the difference, divide by the original amount, and then multiply by 100 to get the percentage:
(80 - 50) / 50 × 100% = 30 / 50 × 100% = 60%
For the percentage decrease from 80 to 50, the process is similar:
(80 - 50) / 80 × 100% = 30 / 80 × 100% = 37.5%
As we can see, a percent increase of 60% from 50 to 80 is not the same as a percent decrease of 37.5% from 80 to 50. This exemplifies that the percent change between two values depends on the original value you are considering for the calculation.