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Here is the graph that shows Max's earnings based on the customer's payment. The equation used is:

\[
E(x) = \frac{1}{3}x - 4
\]

- As the customer pays more (represented by $ x $ on the horizontal axis), Max’s earnings increase. 
- However, because of the $4 convenience fee, the graph starts at negative values. When the customer's payment reaches $12, Max begins to earn positive amounts.

Would you like further clarification on this? Here are some related questions you might find interesting:

1. What would happen to Max’s earnings if the convenience fee changed to $6?
2. How would Max’s earnings change if instead of $ \frac{1}{3} $, he earned $ \frac{1}{2} $ of each payment?
3. What is the minimum customer payment required for Max to make a profit?
4. How can we find the breakeven point from this graph?
5. How would the graph look if there were no convenience fee at all?

**Tip**: The slope of the graph represents the rate at which Max earns per dollar paid by the customer, while the y-intercept shows the initial deduction (convenience fee).

Which graph contains the possibilities for Max’s earnings?

Explore how Max's earnings from a landscaping business depend on customer payments using the linear equation E(x) = (1/3)x - 4. This problem introduces slope-intercept form concepts, showing how a $4 convenience fee impacts the graph. Discover what customer payments are needed for Max to break even and start earning positive amounts.

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