1. **State the problem:** Kenisha has two salary options: Option 1 is $500 plus 4% commission, Option 2 is $400 plus 5% commission. We want to find the sales amount $x$ where both options pay the same total salary $y$. 2. **Identify variables:** - $x$ = total sales amount (in dollars) - $y$ = total monthly earnings (in dollars) 3. **Write the equations:** - Option 1: $y = 500 + 0.04x$ - Option 2: $y = 400 + 0.05x$ 4. **Set the two equations equal to find $x$ where earnings are the same:** $$500 + 0.04x = 400 + 0.05x$$ 5. **Solve for $x$:** Subtract 400 from both sides: $$500 - 400 + 0.04x = 0.05x$$ $$100 + 0.04x = 0.05x$$ Subtract $0.04x$ from both sides: $$100 = 0.05x - 0.04x$$ $$100 = 0.01x$$ Divide both sides by 0.01: $$x = \frac{100}{0.01} = 10000$$ 6. **Interpretation:** Kenisha needs to sell $10000 worth of shoes for both salary options to pay the same. 7. **Find the total earnings at $x=10000$:** Using Option 1: $$y = 500 + 0.04 \times 10000 = 500 + 400 = 900$$ **Final answer:** Kenisha must sell $10000 in sales to earn $900 under both salary options.