1. **Problem Statement:** Alia hired a taxi with a fixed charge of 1500 plus 450 per 30 minutes. (i) Represent the relation as a linear equation. (ii) Find the cost after 5 hours. (iii) Find the slope of the equation. 2. **Define variables:** Let $x$ be the time in minutes. Let $y$ be the total cost. 3. **Form the linear equation:** Fixed charge = 1500. Charge per 30 minutes = 450. So, charge per minute = $\frac{450}{30} = 15$. The total cost $y$ is: $$y = 1500 + 15x$$ 4. **Calculate cost after 5 hours:** Convert 5 hours to minutes: $5 \times 60 = 300$ minutes. Substitute $x=300$: $$y = 1500 + 15 \times 300 = 1500 + 4500 = 6000$$ 5. **Slope of the equation:** The slope is the rate of change of cost with respect to time, which is $15$ Rs per minute. **Final answers:** (i) $y = 1500 + 15x$ (ii) Cost after 5 hours = 6000 (iii) Slope = 15