Let's identify which percent change represents a percent increase from the given data.
We have the following sets of values:
1. Original amount = [tex]$978, New amount = $[/tex]118, Percent change = [tex]$87\%$[/tex]
2. Original amount = [tex]$574, New amount = $[/tex]678, Percent change = [tex]$18\%$[/tex]
3. Original amount = [tex]$1,055, New amount = $[/tex]1,000, Percent change = [tex]$-5\%$[/tex]
4. Original amount = [tex]$1,254, New amount = $[/tex]1,045, Percent change = [tex]$-17\%$[/tex]
Percent change represents an increase if the percent change value is greater than [tex]$0$[/tex].
Let's analyze each percent change:
1. For the percent change of [tex]$87\%$[/tex], it represents an increase.
2. For the percent change of [tex]$18\%$[/tex], it represents an increase.
3. For the percent change of [tex]$-5\%$[/tex], it does not represent an increase, as it is a decrease.
4. For the percent change of [tex]$-17\%$[/tex], it does not represent an increase, as it is a decrease.
Therefore, the percent changes that represent a percent increase are those associated with the indices:
- First percent change: [tex]$87\%$[/tex]
- Second percent change: [tex]$18\%$[/tex]
Hence, the indices representing percent increases are [tex]\([1, 2]\)[/tex].
