Question

Find each percent change.

State if it is an increase or decrease.


9) From 16.6 to 13 i really need thisssss preferably have a good explanation so i can do it myself next time

Answer 1

21.69% decrease.

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:

`\displaystyle PC=\frac{ \text{New - Old}}{\text{Old} } \cdot100\%`

The new value is 13 and the old value is 16.6. Substitute:

`\displaystyle PC=((13)-(16.6))/(16.6) \cdot100\%`

Evaluate:

`\displaystyle PS = -(3.6)/(16.6) \cdot 100 \%`

Use a calculator:

`\displaystyle PS\approx-0.2169\cdot100\% \\ \\ PS\approx21.69\%`

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.