1. **State the problem:** John drives south 8 miles, then east 15 miles, and returns home via a straight road. We need to find the total distance he drives in 7 days.
2. **Use the Pythagorean theorem:** The route forms a right triangle with legs 8 miles and 15 miles. The hypotenuse (straight road home) is calculated by:
$$\text{hypotenuse} = \sqrt{8^2 + 15^2}$$
3. **Calculate the squares:**
$$8^2 = 64, \quad 15^2 = 225$$
4. **Sum the squares:**
$$64 + 225 = 289$$
5. **Find the square root:**
$$\sqrt{289} = 17$$
6. **Calculate total distance for one day:**
$$8 + 15 + 17 = 40$$
7. **Calculate total distance for 7 days:**
$$7 \times 40 = 280$$
**Final answer:** John drives a total of 280 miles after 7 days.
Motorsport Distance 79Cc6B
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.