Sove a Exit Certily Lesson: 5.2 Lnear Modelliss SHAVEL EDWARDS Question 2 of 14, Step 2 of 3 2/23 Correct Ariella is a full-time sales associate at a clothing store. She earns a weekly salary of \( \$ 350 \) and earns \( 15 \% \) commission on all of her sales, Create a model of this situation to represent the amount of money Ariella makes after \( x \) dollars in sales. Step 2 of 3 : What is the slope and what does this value represent? Answer Keypad Keyboard Shortcut 0.15 ; represents the commission rate. 350; represents Ariella's base weekly salary. 15; represents the commission rate. -0.15 ; represents the commission rate.

The correct answer is: **0.15 ; represents the commission rate.** **Explanation:** In the linear model representing Ariella's earnings, the equation is typically expressed in the form: \[ \text{Earnings} = \text{Base Salary} + (\text{Commission Rate} \times \text{Sales}) \] For Ariella: - **Base Salary (y-intercept)**: \$350 - **Commission Rate (slope)**: 15%, which is \(0.15\) in decimal form. So, the model becomes: \[ \text{Earnings} = 350 + 0.15x \] Here: - **Slope (\(0.15\))** indicates the rate at which Ariella's earnings increase with each additional dollar in sales. Specifically, for every dollar she makes in sales, she earns an additional \$0.15. **Therefore, the slope is 0.15, and it represents the commission rate.** Answer: 0.15 ; represents the commission rate.