To find out how many hours Christiana needs to work, we first need to account for the tip she will receive for hosting the birthday party.
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Calculate the total amount needed after the tip:
Christiana needs to make $130 for her car insurance, and she will receive an $18 tip.\[ \text{Amount still needed} = 130 - 18 = 112 \]
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Calculate the number of hours she needs to work:
Christiana earns $14 per hour. Now we need to find out how many hours she needs to work to make the remaining $112.\[ \text{Hours needed} = \frac{\text{Amount still needed}}{\text{Hourly wage}} = \frac{112}{14} \]
\[ \text{Hours needed} = 8 \]
So, Christiana should work 8 hours to make the $130 needed for her car insurance.