The table shows the cost per year of attending different types of colleges.
 
Type of College	Cost per Year
(dollars)
Public - 2 year (in state)	4,000
Public - 4 year (in state)	11,000
Public - 4 year (out of state)	28,000
Private - 4 year	38,000

Synclaire is planning to attend college in 5 years. She has saved $1,200 and plans to save another $50 per month over the next 60 months.

Based on this information about Synclaire’s plan, which statement about the possible choices for a college is true?
A.Synclaire would be able to afford the costs for one year at a private 4-year college.
B.Synclaire would be able to afford out-of-state costs for half a year at a 4-year public college.
C.Synclaire would be able to afford in-state costs for half a year at a public 4-year college.
D.Synclaire would be able to afford in-state costs for one year at a public 2-year college.

We need to determine how much money Synclaire will have saved in 5 years and compare that to the cost of attending different types of colleges for one year.

### Synclaire’s savings plan:

1. **Initial savings**: $1,200.
2. **Monthly savings**: $50 per month for 60 months (5 years).

Total savings over 5 years from monthly contributions:
\[
50 \, \text{dollars/month} \times 60 \, \text{months} = 3,000 \, \text{dollars}.
\]
Thus, her total savings after 5 years will be:
\[
1,200 \, \text{dollars} + 3,000 \, \text{dollars} = 4,200 \, \text{dollars}.
\]

### Now, let's compare this to the cost of attending different colleges:

- **Public - 2 year (in state)**: $4,000 per year.
- **Public - 4 year (in state)**: $11,000 per year.
- **Public - 4 year (out of state)**: $28,000 per year.
- **Private - 4 year**: $38,000 per year.

#### Analysis of each statement:

- **Option A**: "Synclaire would be able to afford the costs for one year at a private 4-year college."
    - Cost of attending a private 4-year college for one year is $38,000, which is much higher than her savings of $4,200.
    - **False**.

- **Option B**: "Synclaire would be able to afford out-of-state costs for half a year at a 4-year public college."
    - Half of the out-of-state cost at a public 4-year college is $ \frac{28,000}{2} = 14,000 $, which is still higher than $4,200.
    - **False**.

- **Option C**: "Synclaire would be able to afford in-state costs for half a year at a public 4-year college."
    - Half of the in-state cost at a public 4-year college is $ \frac{11,000}{2} = 5,500 $, which is higher than $4,200.
    - **False**.

- **Option D**: "Synclaire would be able to afford in-state costs for one year at a public 2-year college."
    - The cost of attending an in-state public 2-year college for one year is $4,000, which is less than $4,200.
    - **True**.

### Correct answer: **D**. 

Synclaire would be able to afford the in-state costs for one year at a public 2-year college.

Do you want further details on this or have any other questions? 

Here are 5 related questions for further exploration:
1. How much more would Synclaire need to save to afford one year at a 4-year public college in-state?
2. How could Synclaire increase her savings if she wanted to attend a 4-year college?
3. What would be the monthly savings required to afford a private 4-year college?
4. What are the benefits of attending a 2-year college before transferring to a 4-year college?
5. How do college costs vary by state and type of institution?

**Tip**: Saving more consistently or finding additional sources of funding, such as scholarships, can help cover the costs of higher education.

Synclaire is planning to attend college in 5 years. She has saved $1,200 and plans to save another $50 per month over the next 60 months. Based on this information about Synclaire’s plan, which statement about the possible choices for a college is true? A. Synclaire would be able to afford the costs for one year at a private 4-year college. B. Synclaire would be able to afford out-of-state costs for half a year at a 4-year public college. C. Synclaire would be able to afford in-state costs for half a year at a public 4-year college. D. Synclaire would be able to afford in-state costs for one year at a public 2-year college.

Discover how much Synclaire can save over 5 years and whether she can afford a year at a public 2-year college. This problem involves basic arithmetic and savings calculations, making it suitable for middle school students. Learn how to break down savings plans and compare costs of attending different types of colleges.

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