To determine how many months it will take Eva to save for her vacation, we can set up the equation based on her initial deposit and her monthly savings.
Eva's initial deposit: $500
Monthly savings: $100
Total amount needed for the vacation: $1,300
First, we calculate how much more money she needs after her initial deposit:
\[ \text{Amount still needed} = \text{Total amount} - \text{Initial deposit} = 1300 - 500 = 800 \]
Now, we need to find out how many months it will take for Eva to save the remaining $800 at a rate of $100 per month:
\[ \text{Number of months} = \frac{\text{Amount still needed}}{\text{Monthly savings}} = \frac{800}{100} = 8 \]
Thus, it will take Eva 8 months to save for her vacation.
The correct response is 8 months.