1. **Stating the problem:** We are given data points showing the amount charged per hour by dog sitters based on their years of experience. We need to find the approximate equation of the line of best fit and then use it to predict the charge for 14 years of experience. 2. **Formula for 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. **Estimating slope and intercept:** From the scatter plot description, the amount charged increases roughly from about $2$ dollars at $0$ years to about $18$ dollars at $20$ years. Calculate slope $m$: $$m = \frac{\Delta y}{\Delta x} = \frac{18 - 2}{20 - 0} = \frac{16}{20} = 0.8$$ Estimate intercept $b$: At $x=0$, $y$ is about $2$, so $b \approx 2$. 4. **Equation of the line:** $$y = 0.8x + 2$$ 5. **Prediction for 14 years:** Substitute $x=14$: $$y = 0.8 \times 14 + 2 = 11.2 + 2 = 13.2$$ 6. **Final answers:** (a) The approximate equation is: $$y = 0.8x + 2$$ (b) The predicted amount charged per hour for 14 years of experience is: $$13.2$$