Jada earns money per hour babysitting.
 

 
What is the constant of proportionality that relates the amount of money earned, y, to the number of hours, x?

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CLEAR
1b. 
Write an equation that represents the relationship between the amount of money earned, y, and the number of hours worked, x.

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To determine the **constant of proportionality** that relates the amount of money earned (y) to the number of hours worked (x), we need to understand that this relationship is in the form of a direct proportion. A direct proportion means that the amount of money earned increases at a constant rate for every additional hour worked.

This relationship can be expressed as:

\[
y = kx
\]

Where:
- $ y $ is the amount of money earned,
- $ x $ is the number of hours worked, and
- $ k $ is the constant of proportionality, which represents the amount of money earned per hour.

### 1b. Writing the Equation
If we know the value of $ k $, we can write the equation. For now, the general equation will be:

\[
y = kx
\]

Where $ k $ is Jada's hourly wage. If the hourly wage is given or known, you can substitute that value in for $ k $.

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Would you like to provide Jada's hourly wage to complete the equation, or do you need any further details?

### Related Questions:
1. How can we calculate the constant of proportionality from real-world data?
2. What is the difference between a proportional relationship and a linear relationship?
3. How would the graph of this proportional relationship look?
4. How would the equation change if Jada received a fixed amount along with her hourly rate?
5. How does the concept of constant of proportionality apply to other real-world situations?

### Tip: 
Always remember that in direct proportionality, the ratio $ \frac{y}{x} $ remains constant, which gives you the constant of proportionality.

Jada earns money per hour babysitting. What is the constant of proportionality that relates the amount of money earned, y, to the number of hours, x? Write an equation that represents the relationship between the amount of money earned, y, and the number of hours worked, x.

Discover how to find the constant of proportionality that relates the amount of money Jada earns to the number of hours she babysits. This problem demonstrates key concepts in proportionality and linear relationships, ideal for students in Grades 6-8.

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