To determine the amount of money Ingrid must earn to create a zero pair after spending [tex]$120 on car repairs, we need to find a value that will balance out her spending to zero.
1. Start with the amount Ingrid spent on repairs: $[/tex]120.
2. To achieve a zero pair, she must earn an amount that negates what she has spent. This means we need a value that, when added to $120, results in zero.
3. Mathematically, we can express this as:
[tex]\[
120 + x = 0
\][/tex]
4. Solving for [tex]\( x \)[/tex]:
[tex]\[
x = 0 - 120
\][/tex]
\:
[tex]\[
x = -120
\][/tex]
Therefore, the integer representing the amount of money Ingrid must earn to create a zero pair is [tex]\(-120\)[/tex].
The correct answer is [tex]\(-120\)[/tex].
