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Ariella is a full-time sales associate at a clothing store. She earns a weekly salary of \( \$ 225 \) and earns \( 5 \% \) 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 1 of 3 : What is the \( y \)-intercept and what does the \( y \)-coordinate of the \( y \)-intercept represent? Answer O( 0,0\( ) \); represents Ariella's base weekly salary. O( 0,5 ); represents the commission rate. O( 0,225 ); represents Ariella's base weelly salary.

Ask by Ortiz Stephens. in the United States
Feb 03,2025

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The y-intercept is (0, 225), representing Ariella's base weekly salary.

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The Deep Dive

Ariella’s total earnings can be modeled with the equation \( y = 0.05x + 225 \), where \( y \) is her total earnings and \( x \) is her sales amount. The \( y \)-intercept, which occurs when \( x = 0 \), is \( (0, 225) \). This means when Ariella sells nothing, her income is simply her base salary of \( \$ 225 \). If you're curious about Ariella's potential earnings, keep in mind that her commission on sales adds up quickly. For every \( \$ 1000 \) in sales, she earns an additional \( \$ 50 \) on top of her salary, making it vital for her to engage customers effectively in order to maximize her commission pulls!

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