Question
The equation \( y=5.5 x \) represents a proportional relationship. What is the constant of proportionality? A. \( x \) B. \( y \) C. 5.5 D. \( \frac{1}{5.5} \)
Ask by Wells Sherman. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The constant of proportionality is 5.5.
Solution
In a proportional relationship of the form \( y = kx \), the constant of proportionality is the value that relates \( y \) directly to \( x \). Here, \( k \) represents the constant that remains the same as \( x \) and \( y \) change proportionally.
Given the equation:
\[ y = 5.5x \]
- **\( k = 5.5 \)**
This means that for every unit increase in \( x \), \( y \) increases by 5.5 units. Therefore, the constant of proportionality in this equation is **5.5**.
**Answer:**
C. \( 5.5 \)
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
The constant of proportionality in the equation \( y = 5.5 x \) is 5.5. This means for every unit increase in \( x \), \( y \) increases by 5.5 units. So, if you were to graph this equation, the slope of the line would be 5.5, showcasing how strongly \( y \) is linked to \( x \). In real-world applications, knowing the constant of proportionality can help in things like budgeting and cooking. For example, if you're cooking a recipe that uses 5.5 cups of flour for every unit of something else, understanding this ratio allows you to scale your ingredients up or down perfectly. It's practical math in action!
