https://file.aiquickdraw.com/mathbot/file/1726457345353k8oxdqv1.jpg

Let's work through the problems from the image.

### 15. **EXPENSES**
Santino spends:
- $125 per month on clothing
- $180 per month going out to eat
- $130 per week on groceries

The tax rate is 7.25%. We are asked to find the total amount spent in a year, including sales tax.

#### Step 1: Calculate annual spending without tax
- Clothing: $ 125 \times 12 = 1500 $ dollars per year
- Eating out: $ 180 \times 12 = 2160 $ dollars per year
- Groceries: $ 130 \times 52 = 6760 $ dollars per year

Total before tax: $ 1500 + 2160 + 6760 = 10,420 $ dollars

#### Step 2: Apply sales tax
Tax on the total: $ 10,420 \times 0.0725 = 755.45 $ dollars

#### Step 3: Calculate total amount with tax
Total spending: $ 10,420 + 755.45 = 11,175.45 $ dollars per year.

---

### 16. **TIME MANAGEMENT**
Ava spends:
- 45 minutes per day studying
- 20 minutes per day practicing piano
- 1.5 hours, three times a week playing soccer.

She decides to reduce the time spent on each activity by $ \frac{1}{6} $.

#### Step 1: Calculate daily and weekly time
- **Studying**: $ 45 \times \frac{5}{6} = 37.5 $ minutes
- **Piano**: $ 20 \times \frac{5}{6} = 16.67 $ minutes
- **Soccer**: $ 1.5 \times 3 = 4.5 $ hours per week, reduced to $ 4.5 \times \frac{5}{6} = 3.75 $ hours per week

#### Step 2: Calculate total hours in a year
- Studying: $ \frac{37.5}{60} \times 365 = 228.125 $ hours
- Piano: $ \frac{16.67}{60} \times 365 = 101.97 $ hours
- Soccer: $ 3.75 \times 52 = 195 $ hours

Total hours: $ 228.125 + 101.97 + 195 = 525.095 $ hours.

---

### 17. **SCHOOLS**
The superintendent says there are 3103 students enrolled. We are asked to evaluate the accuracy.

To assess accuracy, additional data such as the actual enrollment records or reports would be needed, which is not provided. However, we can consider if the number is precise or approximate based on context.

---

### 18. **POPULATION**
The U.S. Census Bureau reports the Texas population as 27,862,596 in 2016. 

We are asked to explain the accuracy:
The population number comes from an official source, but populations constantly change due to births, deaths, and migration. So, while the number is accurate for the date reported, it may not reflect the exact population at the current moment.

---

### 22. **REASONING**
A carpenter measures the length of a living room. Which unit (feet, inches, meters, or kilometers) is most appropriate?

- **Feet** is the most practical unit in this context because:
  - **Inches** would be too small for typical room dimensions.
  - **Meters** are also possible but less common in the U.S.
  - **Kilometers** are too large and not practical for indoor spaces.

---

### 23. **SPACE**
Which unit is most appropriate for measuring the distance from Earth to the star Polaris?

- **Light-years** are the most suitable because distances in space are vast, and light-years are commonly used for measuring astronomical distances. Kilometers would be impractically large.

---

Do you have any specific questions on these problems? Here are five questions to expand your understanding:

1. How does the sales tax rate affect the total amount spent annually in problem 15?
2. Why is it important to use accurate time management for activities like Ava's in problem 16?
3. How would you verify the superintendent’s reported enrollment in problem 17?
4. How does census data collection ensure accuracy, as seen in problem 18?
5. Why is the use of light-years critical in astronomical measurements like in problem 23?

**Tip:** When working with units, always think about the practicality of the unit size for the object being measured.

Santino spends an average of $125 per month on clothing, $180 per month going out to eat, and $130 per week on groceries. If the tax rate is 7.25%, find the total amount he spends on food and clothing in a year, including sales tax.

Learn how to calculate total annual spending on clothing, food, and groceries, including sales tax at 7.25%. This problem covers basic arithmetic, percentage application, and sales tax calculations. Suitable for students in Grades 7-9.

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