We read your photo as:

The questions are about taxi rates and calculating costs for different taxi services based on distance travelled.

Mathematics

ScanSolve AI Answer

Step-by-step solution

4 steps

Here are the solutions to the questions:

  1. Step 1: Explain the term rate. In this context, a rate refers to the cost charged per unit of distance travelled, specifically per kilometre. It indicates how much money is paid for each kilometre driven.

  2. Step 1: Identify the per-kilometre rates for each company.

    • Modi Car Services: R6,50 per kilometre
    • Dips Taxi Services: R3,50 per kilometre
    • R5 Transport: R2,80 per kilometre

  1. Compare the rates.

    Comparing R6,50, R3,50, and R2,80, the cheapest rate per kilometre is R2,80.

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

    3.1. Step 1: Determine the formula for Dips Taxi Services.
    Dips Taxi Services charges a basic fee of R165 plus R3,50 per kilometre.
    Let CC be the total cost and nn be the number of kilometres travelled. C=R165+R3,50×n C = \text{R}165 + \text{R}3,50 \times n

  2. Determine the formula for R5 Transport.

    R5 Transport charges a basic fee of R200 plus R2,80 per kilometre.  
Let $C$ be the total cost and $n$ be the number of kilometres travelled.
$$
C = \text{R}200 + \text{R}2,80 \times n
$$

    3.2. Step 1: Identify the distance to Polokwane.
    The Polokwane research site is 18 km from the University.

  3. Calculate the total distance for a return trip.

    A return trip means travelling to Polokwane and back.  
Total distance $n = 18 \text{ km} \times 2 = 36 \text{ km}$.

  4. Apply the Modi Car Services formula.

    The formula for Modi Car Services is $C = \text{R}6,50 \times n$.  
Substitute $n = 36 \text{ km}$ into the formula:
$$
C = \text{R}6,50 \times 36
$$
$$
C = \text{R}234
$$

Tumi will pay **R234** for the return trip using Modi Car Services.
Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QA local taxi association charges a fixed base fare of R12, plus an additional cost per kilometre. A…QA taxi company charges a fixed booking fee plus a cost that varies directly with the distance…QCalculate the average speed and the cost of petrol for the given distances and rates.QFormulate mathematical relationships for a scenario involving taxis and Costa buses, considering…QUse the information and Table 1 above to answer the questions that follow. 15.1.1 Differentiate…
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.