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To determine the constant of proportionality that relates the amount of money earned, $ y $, to the number of hours, $ x $, we need to calculate the rate at which Jada earns money per hour.

### Steps:
1. From the graph, observe that at $ x = 1 $ hour, Jada earns $9, and at $ x = 5 $ hours, she earns $45.
2. The relationship between the number of hours and money earned is linear, indicating a proportional relationship.

The constant of proportionality (rate of earning per hour) can be found by dividing the amount of money earned by the corresponding number of hours:
\[
k = \frac{y}{x} = \frac{45}{5} = 9
\]
Thus, Jada earns $9 per hour, and the constant of proportionality is $ k = 9 $.

Would you like further explanation on this? Here are five related questions:

1. How would the graph change if Jada earned $12 per hour instead?
2. What is the equation that represents the relationship between the number of hours worked and money earned?
3. If Jada works for 8 hours, how much would she earn?
4. How would you determine the constant of proportionality if the graph had a different slope?
5. How can you tell from the graph that the relationship is proportional?

**Tip**: When finding the constant of proportionality from a graph, simply divide any point's $ y $-value by its corresponding $ x $-value to find the unit rate.

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?

Discover how to calculate the constant of proportionality from a linear graph showing Jada's babysitting earnings. The graph shows that Jada earns $9 per hour, and this example is suitable for students in Grades 6-8, covering proportionality and linear relationships.

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