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A car rental company offers two pricing plans: Plan A charges a fixed fee of R150 plus R4 per kilometer. Plan B charges a fixed fee of R220 plus R3 per kilometer. If you need to travel 100 kilometers,

Mathematics

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Here are the answers to your questions:

  1. In this context, rate refers to the cost charged per unit of distance travelled, specifically per kilometre.

  2. The car rental company that offers the cheapest rate per kilometre is R5 Transport.

3.1. The formulas for calculating the cost of hiring a car from the other two companies are: * For Dips Taxi Services: Cost in Rand=R165+R3.50×n \text{Cost in Rand} = \text{R}165 + \text{R}3.50 \times n where nn is the number of kilometres travelled. * For R5 Transport: Cost in Rand=R200+R2.80×n \text{Cost in Rand} = \text{R}200 + \text{R}2.80 \times n where nn is the number of kilometres travelled.

3.2. Step 1: Determine the total distance for the return trip to Polokwane.
The distance to Polokwane is 18 km. A return trip means travelling there and back. Total distance=18 km×2=36 km \text{Total distance} = 18 \text{ km} \times 2 = 36 \text{ km}

  1. Calculate the cost using Modi Car Services.

    Modi Car Services charges R6.50 per kilometre.
    $$
    \text{Cost} = \text{R}6.50 \times 36
    $$
    
  2. Perform the multiplication.

    $$
    \text{Cost} = \text{R}234.00
    $$
    Tumi will pay $\boxed{\text{R}234.00}$.
    
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