Question

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1. erica loses $0.25 for every dish she puts in the kitchen sink. she starts with $2.00. write an equation to model the scenario, then graph.

Explanation:

Step1: Define variables

Let $x$ = number of dishes, $y$ = remaining money.

Step2: Identify initial value

Initial money (y-intercept) $b = 2.00$

Step3: Identify rate of change

Loss per dish (slope) $m = -0.25$

Step4: Write linear equation

Use slope-intercept form $y = mx + b$
$y = -0.25x + 2.00$

Step5: Find graph points

• When $x=0$, $y=2.00$ → Point $(0, 2)$
• When $y=0$, $0 = -0.25x + 2$ → $x = \frac{2}{0.25} = 8$ → Point $(8, 0)$

(Note: The provided grid only shows up to $x=5$, so plot $(0,2)$ and $(5, 2 - 0.25*5) = (5, 0.75)$ for the visible grid.)

Answer:

Equation: $\boldsymbol{y = -0.25x + 2}$
Graph: Plot the points $(0, 2)$ and $(5, 0.75)$ on the grid, then draw a straight line through them (extending to $x=8$ off the provided grid where $y=0$).