1. **State the problem:** We need to find the equation that best represents the savings data where the amount saved increases each month. 2. **Identify the variables:** Let $x$ be the number of months and $y$ be the amount saved. 3. **Analyze the data:** From the table: - At month 0, amount $y=0$ - At month 1, amount $y=230$ - At month 2, amount $y=460$ - At month 3, amount $y=690$ - At month 4, amount $y=920$ 4. **Check for linearity:** The amount increases by $230$ each month, so the rate of change (slope) is $230$. 5. **Write the general linear equation:** $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 6. **Find the y-intercept $b$:** At month 0, $y=0$, so $$0 = 230 \times 0 + b \implies b = 0$$ 7. **Write the final equation:** $$y = 230x$$ This matches the data perfectly, as the amount saved is $230$ times the number of months. **Final answer:** $y = 230x$