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?

Question

1)0.3 a month
2) 8 months
3)2.4 months
4)18 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 her monthly savings.

Eva's initial deposit is $500, and she plans to save $100 each month. We can express her total savings after \( m \) months as follows:

\[ \text{Total Savings} = \text{Initial Deposit} + (\text{Monthly Savings} \times m) \]

Substituting in the values:

\[ \text{Total Savings} = 500 + 100m \]

We want to find \( m \) when her total savings equals the vacation cost of $1,300:

\[ 500 + 100m = 1300 \]

Now, let's solve for \( m \):

1. Subtract 500 from both sides:

\[ 100m = 1300 - 500 \] \[ 100m = 800 \]

2. Divide both sides by 100:

\[ m = \frac{800}{100} = 8 \]

Thus, it will take Eva 8 months to save for her $1,300 vacation.

The correct answer is 2) 8 months.