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We are given that a factory worker receives a base salary of $54,000 and a bonus of 15% of the total sales for the year.

Let the total sales be denoted by $ d $ (in dollars). The bonus is calculated as 15% of the total sales, which means:
\[
\text{Bonus} = 0.15d
\]
Thus, the factory worker's total income, $ y $, is the sum of the base salary and the bonus:
\[
y = 54000 + 0.15d
\]

Now, let's match this equation with the given options:

- **A. $ y = 54000 + 0.15d $** (This matches the correct formula)
- B, C, and D have different coefficients or base amounts, which are incorrect.

Therefore, the correct answer is **A. $ y = 54000 + 0.15d $**.

Would you like more details on this solution or have any questions?

Here are 5 related questions for further practice:
1. What would the worker’s total income be if total sales were $100,000?
2. How does a change in the percentage bonus affect the equation?
3. If the worker had a base salary of $60,000, how would the equation change?
4. What is the worker’s income when the total sales are $0?
5. How would the equation change if the bonus rate were 10%?

**Tip:** When writing linear models, ensure you carefully interpret the meaning of constants (fixed amounts) and coefficients (changing amounts).

A factory worker receives a base salary of $54,000 and a bonus of 15% of the total sales for the year. Which of the following linear models shows the factory worker's total income based on total sales of d dollars?

Explore how to calculate a factory worker's total income based on a base salary of $54,000 and a 15% bonus on total sales. This problem involves algebra and linear equations and is suitable for students in Grades 7-9.

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