liv earns 9.50 for every 2 bracelets she sells. the equation y = 4.75x,where x  represents the number of bracelets and y reprsents thetotal cost in dollars earned, represents the situation. what is the costantr of proportionality? what does the constant of proportionality represent in the context of the problem>

The constant of proportionality in the equation $ y = 4.75x $ is 4.75. This constant represents the amount of money Liv earns for each bracelet she sells.

### Explanation:

- The equation $ y = 4.75x $ relates the number of bracelets (denoted by $ x $) to the total earnings (denoted by $ y $).
- The constant of proportionality is the coefficient of $ x $, which in this case is 4.75.
- In the context of the problem, the constant of proportionality $ 4.75 $ represents the amount of money Liv earns for each bracelet she sells.

So, Liv earns $4.75 for every bracelet she sells.

Would you like more details on how the constant of proportionality works, or do you have any other questions?

Here are five related questions you might consider:
1. How would the equation change if Liv earned $5 for each bracelet?
2. What would Liv's total earnings be if she sold 10 bracelets?
3. How many bracelets does Liv need to sell to earn $50?
4. What does the constant of proportionality tell you about the relationship between two variables?
5. How can we verify the constant of proportionality from the original scenario?

**Tip:** Always identify the constant of proportionality as the factor that links the two variables in a directly proportional relationship.

Explore how Liv's earnings from selling bracelets are calculated using proportionality. Learn about the constant of proportionality in the equation y = 4.75x and its significance. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation