Oduor car hire company charges as follows: KSh 2500 per day and KSh 20 per kilometer covered. They offer a discount of 30 km free each day of hire. Makori hires a car for 5 days and drives for 450 km.

The daily rate is KSh 2500 per day. Makori hires the car for 5 days.

$$\text{Total daily charge} = \text{Daily rate} \times \text{Number of days}$$ $$\text{Total daily charge} = 2500 \text{ KSh/day} \times 5 \text{ days}$$ $$\text{Total daily charge} = 12500 \text{ KSh}$$

The company offers 30 km free each day. Makori hires the car for 5 days.

$$\text{Total free kilometers} = \text{Free km per day} \times \text{Number of days}$$ $$\text{Total free kilometers} = 30 \text{ km/day} \times 5 \text{ days}$$ $$\text{Total free kilometers} = 150 \text{ km}$$

Makori drives a total of 450 km, and 150 km are free.

$$\text{Chargeable kilometers} = \text{Total kilometers driven} - \text{Total free kilometers}$$ $$\text{Chargeable kilometers} = 450 \text{ km} - 150 \text{ km}$$ $$\text{Chargeable kilometers} = 300 \text{ km}$$

The rate per kilometer is KSh 20.

$$\text{Total kilometer charge} = \text{Chargeable kilometers} \times \text{Rate per km}$$ $$\text{Total kilometer charge} = 300 \text{ km} \times 20 \text{ KSh/km}$$ $$\text{Total kilometer charge} = 6000 \text{ KSh}$$

The total cost is the sum of the total daily charge and the total kilometer charge.

$$\text{Total cost} = \text{Total daily charge} + \text{Total kilometer charge}$$ $$\text{Total cost} = 12500 \text{ KSh} + 6000 \text{ KSh}$$ $$\text{Total cost} = 18500 \text{ KSh}$$

The total cost is $18500 \text{ KSh}$.