Eva is saving money for a vacation. She plans to save a fixed amount of money each month. Her initial deposit into the account is $500, and she will save $100 per month. How many months will it take her to save for a $1,300 vacation? (1 point)

Question

Responses

18 months
18 months

2.4 months
2.4 months

0.3 month
0.3 month

8 months

Answer 1

To determine how many months it will take Eva to save for her $1,300 vacation, we can set up the equation based on her initial deposit and the monthly savings:

1. Initial deposit: $500
2. Monthly savings: $100
3. Total savings goal: $1,300

We can calculate how much more money Eva needs to save beyond her initial deposit:

\[ \text{Amount needed} = \text{Total savings goal} - \text{Initial deposit} = 1300 - 500 = 800 \]

Next, we need to find out how many months it will take her to save the additional $800 at a rate of $100 per month:

\[ \text{Months needed} = \frac{\text{Amount needed}}{\text{Monthly savings}} = \frac{800}{100} = 8 \]

Therefore, it will take Eva 8 months to save for her vacation.

The correct response is: 8 months