https://file.aiquickdraw.com/mathbot/file/1726765128341sj0xbjrb.jpg

The problem asks for an equation that represents the total amount of money Jerry earns after working $ x $ hours, knowing that he starts with $20 and earns $7 per hour. The goal is to identify the correct table of values corresponding to this situation.

### Step-by-step analysis:

1. **Initial amount**: Jerry has $20 at the start.
2. **Hourly earnings**: Jerry earns $7 for each hour worked.
3. **General equation**: The total money $ y $ after $ x $ hours can be expressed by the equation:
   \[
   y = 20 + 7x
   \]
   where:
   - $ 20 $ is the initial amount Jerry has,
   - $ 7x $ is the additional money earned after working $ x $ hours.

### Verification with the tables:
Now, let's use this equation to calculate $ y $ for different values of $ x $ and compare them with the given tables.

For $ x = 1 $:
\[
y = 20 + 7(1) = 27
\]
For $ x = 3 $:
\[
y = 20 + 7(3) = 41
\]
For $ x = 5 $:
\[
y = 20 + 7(5) = 55
\]

The second table, the one in the **yellow box**, matches the values from this equation:
- When $ x = 1 $, $ y = 27 $,
- When $ x = 3 $, $ y = 41 $,
- When $ x = 5 $, $ y = 55 $.

### Conclusion:
The correct equation is $ y = 20 + 7x $, and the corresponding table is the one in the **yellow box**.

Would you like further details or have any questions?

Here are 5 related questions to expand on the concept:
1. How would the equation change if Jerry started with a different amount, say $30?
2. What would the equation be if Jerry earned $10 per hour instead of $7?
3. Can you derive a formula for the number of hours $ x $ Jerry needs to work to reach a specific total amount of money $ y $?
4. How would the table look if Jerry didn’t start with any money and only earned by working?
5. What type of graph would represent this relationship between $ x $ and $ y $?

**Tip**: Always check your initial conditions (like the starting amount) when writing linear equations.

Jerry has $20 and makes $7 per hour. Write an equation that can be used to find y, the total number of money Jerry earns after working x hours. Choose the correct table that matches this equation.

Learn how to find the total money earned using the linear equation y = 20 + 7x, where Jerry starts with $20 and earns $7 per hour. This problem is ideal for students in Grades 6-8 and covers key concepts in algebra and linear equations.

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