1. **State the problem:** We have a scatter plot showing the relationship between the number of hours worked ($x$) and the amount of money spent on entertainment ($y$) by 25 students. We need to find an approximate equation of the line of best fit and then use it to predict the money spent for a student who works 12 hours. 2. **Write the equation of the line of best fit:** The line of best fit is generally written as $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. **Estimate slope ($m$):** From the scatter plot, pick two points roughly on the line of best fit. For example, approximate points: $(4, 8)$ and $(24, 24)$. Calculate slope: $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{24 - 8}{24 - 4} = \frac{16}{20} = 0.8$$ 4. **Estimate y-intercept ($b$):** Use one point and the slope to find $b$: $$8 = 0.8 \times 4 + b$$ $$8 = 3.2 + b$$ $$b = 8 - 3.2 = 4.8$$ 5. **Write the approximate equation:** $$y = 0.8x + 4.8$$ 6. **Predict money spent for 12 hours worked:** Substitute $x=12$: $$y = 0.8 \times 12 + 4.8 = 9.6 + 4.8 = 14.4$$ **Final answers:** (a) $$y = 0.8x + 4.8$$ (b) Predicted money spent for 12 hours worked is $$14.4$$ dollars.