Answered

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1.2. Medupe's Car Hire owns two minibus taxis as follows:
- One 16-seater
- One 14-seater

They rent/hire and charge fees as below:

Hiring cost: Fixed amount of R2000, then R12 per km thereafter.

[tex]\[
\begin{array}{|c|c|c|c|c|c|c|c|c|}
\hline
\text{No of Km} & 0 & 50 & 100 & 150 & 250 & 300 & 340 & A \\
\hline
\text{Cost for 14-seater} & 0 & 1250 & 2500 & 3750 & 6250 & B & 8500 & 10500 \\
\hline
\text{Cost for 16-seater} & 2000 & 2600 & 3200 & 3800 & C & 5600 & 6080 & 7040 \\
\hline
K & & & & & & & & \\
\hline
\end{array}
\][/tex]

Use the information above to answer the questions that follow:

1.2.1 Determine the formula to represent the cost for the 16-seater minibus.

Sagot :

GinnyAnswer
To determine the formula for the cost of hiring a 16-seater minibus taxi from Medupe's Car Hire, we need to carefully examine the provided cost structure:

1. Fixed Amount: You have a fixed hiring cost which is R2000.
2. Variable Cost: Beyond the fixed amount, the cost is R12 per kilometer traveled.

So, the total cost [tex]\( C \)[/tex] for hiring the 16-seater minibus taxi for [tex]\( km \)[/tex] kilometers can be expressed as:

[tex]\[ C = \text{Fixed Amount} + (\text{Cost per km} \times \text{no. of km}) \][/tex]

Given the fixed amount is R2000 and the cost per km is R12, we get:

[tex]\[ C = 2000 + 12 \times \text{km} \][/tex]

Thus, the formula to represent the cost for the 16-seater minibus is:

[tex]\[ C = 2000 + 12 \times \text{km} \][/tex]

This formula allows you to calculate the total cost based on the number of kilometers traveled by the 16-seater minibus.
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