1. The problem involves analyzing the relationship between project price and project duration for three clients: Responsive, Bright Crowd, and The Pink Frog Company. 2. The data given is: - Responsive: Price = 27500, Duration = 2 months - Bright Crowd: Price = 58250, Duration = 6 months - The Pink Frog Company: Price = 92000, Duration = 8 months 3. To understand the relationship, we can calculate the price per month for each project: - Responsive: $\frac{27500}{2} = 13750$ - Bright Crowd: $\frac{58250}{6} \approx 9708.33$ - The Pink Frog Company: $\frac{92000}{8} = 11500$ 4. These values show how much each client pays per month on average. 5. The number 2.67 mentioned could be interpreted as the average price per month ratio or another metric, but it is not directly related to the data given. 6. If we want to model price $P$ as a function of duration $d$, we can try a linear fit: $P = md + b$. 7. Using the points (2,27500), (6,58250), and (8,92000), we can estimate slope $m$ and intercept $b$ by linear regression or by solving two equations. 8. For example, using points (2,27500) and (8,92000): $$m = \frac{92000 - 27500}{8 - 2} = \frac{64500}{6} = 10750$$ $$b = 27500 - 10750 \times 2 = 27500 - 21500 = 6000$$ 9. So the approximate linear model is: $$P = 10750d + 6000$$ 10. This means the base price is 6000 and each month adds about 10750 to the price. Final answer: The project price $P$ as a function of duration $d$ (in months) can be approximated by $$P = 10750d + 6000$$