Question
Part B Interpret the slope and \( y \)-intercept. The slope is about -2.5 . This means that Mia makes about fewer mistakes each hour she practices. The \( y \)-intercept is about 11 . This means Mia will make about__ mistakes if she practices O hours.
Ask by Brewer Barker. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The slope of -2.5 means Mia makes about 2.5 fewer mistakes each hour she practices. The \( y \)-intercept of 11 means Mia will make about 11 mistakes if she practices 0 hours.
Solution
Certainly! Let's complete and clarify your interpretations:
### Interpretation of the Slope:
- **Slope = -2.5**
**Meaning:** For each additional hour Mia practices, she makes **2.5 fewer mistakes**. This negative slope indicates a decrease in the number of mistakes as practice time increases.
### Interpretation of the \( y \)-Intercept:
- **\( y \)-Intercept = 11**
**Meaning:** If Mia **does not practice at all** (0 hours of practice), she is expected to make **11 mistakes**.
### Complete Interpretation:
- **Slope:** The slope is about -2.5. This means that Mia makes about **2.5 fewer mistakes each hour she practices**.
- **\( y \)-Intercept:** The \( y \)-intercept is about 11. This means Mia will make about **11 mistakes if she practices 0 hours**.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
Mia’s journey as a budding musician shows that with every hour she devotes to practice, she sharpens her skills, reducing her mistakes by approximately 2.5. This implies that she's on a path to improvement, proving that practice really does make perfect! The \( y \)-intercept being around 11 hints at the starting point of her learning curve. If Mia puts in zero hours of practice, she can expect to have about 11 mistakes initially. It's like starting a game with a little hiccup, but every hour she plays, she’s fine-tuning her performance!
