Question

You saved $100 in 5 months. At this rate, how much will you save in 15 months? What is the effect of your savings, if you save $110 in 5 months?(1 point)
Responses

In 15 months, you will save $300. If you change your savings to $110, your total savings will increase.
In 15 months, you will save $300. If you change your savings to $110, your total savings will increase.

In 15 months, you will save $300. If you change your savings to $110, your total savings will decrease.
In 15 months, you will save $300. If you change your savings to $110, your total savings will decrease.

In 15 months, you will save $500. If you change your savings to $110, your total savings will increase.
In 15 months, you will save $500. If you change your savings to $110, your total savings will increase.

In 15 months, you will save $285. If you change your savings to $110, your total savings will increase.

Answer 1

To determine how much you will save in 15 months based on saving $100 in 5 months, we can calculate as follows:

1. **Rate of savings**: If you save $100 in 5 months, your monthly savings rate is:
\[
\frac{100}{5} = 20 \text{ dollars per month}
\]

2. **Savings in 15 months**: At the rate of $20 per month, in 15 months you will save:
\[
20 \text{ dollars/month} \times 15 \text{ months} = 300 \text{ dollars}
\]

Now, if you change your saving amount to $110 in 5 months, we can similarly calculate the monthly savings:
1. **New rate of savings**: If you save $110 in 5 months, your new monthly savings rate is:
\[
\frac{110}{5} = 22 \text{ dollars per month}
\]

2. **Savings with the new rate in 15 months**: At the new rate of $22 per month, in 15 months you will save:
\[
22 \text{ dollars/month} \times 15 \text{ months} = 330 \text{ dollars}
\]

**Conclusion**:
- In 15 months, you will save **$300** with the original savings plan.
- If you change your savings to $110 in 5 months, your total savings will **increase** to **$330**.

The correct response would be:
**In 15 months, you will save $300. If you change your savings to $110, your total savings will increase.**