Answer:
21.69% decrease.
Step-by-step explanation:
We want to determine the percent change from 16.6 to 13.
First, since 13 is smaller than 16.6, we know that this is decrease.
Percent change is given by the formula:
[tex]\displaystyle PC=\frac{ \text{New - Old}}{\text{Old} } \cdot100\%[/tex]
The new value is 13 and the old value is 16.6. Substitute:
[tex]\displaystyle PC=\frac{(13)-(16.6)}{16.6} \cdot100\%[/tex]
Evaluate:
[tex]\displaystyle PS = -\frac{3.6}{16.6} \cdot 100 \%[/tex]
Use a calculator:
[tex]\displaystyle PS\approx-0.2169\cdot100\% \\ \\ PS\approx21.69\%[/tex]
We ignore the negative because the negative simply tells us that it's decreasing. (Likewise, if the answer's positive, it's an increase.)
In conclusion, the percent change is an approximate 21.69% decrease.
