i need to solve?

Question

State whether the following statement is true or​ false, and explain why. If the statement is​ false, state the true change. A high school reports that its​ students' SAT scores were down by 12​% in one year. The next​ year, however, the test scores rose by ​21%. The high school principal​ announces, "Overall, test scores have improved by 9​% over the past two​ years." Question content area bottom Part 1 Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

Answer 1

let's say original scores were 100

down 12% means down to 88

then up 21% means up to 106.48

that's a 6.48% increase over a 2 year period, not 9%

let's say they start at 100

then go down 100% to 0

then back up to 100

that's an infinite percentage increase from 0 to 100

but 0% increase over the 2 years, from 100 to 100