On the same set of axes, project this information comparing the tariffs of these providers. Label your graph adequately.

The repayment period is 42 months.

The total repayment period is $\boxed{\text{3.5 years}}$.

1.1.2 Determine the total repayment cost, in rands, for this item.

Monthly instalment = R1 078.26
Number of months = 42

The total repayment cost is $\boxed{\text{R45 286.92}}$.

1.1.3 The advertised price for this item is R29 999.00. Furn-Furnitures offers a 17% discount for once-off cash payments. Calculate the amount the buyer will finally pay.

Advertised price = R29 999.00
Discount = 17%

The buyer will finally pay $\boxed{\text{R24 899.17}}$.

1.2 On the same set of axes, project this information comparing the tariffs of these providers. Label your graph adequately.
To compare the tariffs, you will plot the cost of a call (in Rands) against the duration of the call (in minutes).

Let $t$ be the duration of the call in minutes and $C$ be the cost of the call in Rands.

• Off-net calls:

  • FreeCom Off-net: Charges R1.20 per minute. $$C_{\text{FreeCom Off-net}}(t) = 1.20t$$
  • Talkcom Off-net: Charges 79 cents (R0.79) per minute. $$C_{\text{Talkcom Off-net}}(t) = 0.79t$$

• On-net calls (for both networks): On-net calls are billed for the first 3 minutes, with a cap of R3.60 for calls shorter than 60 minutes. This means the rate for the first 3 minutes is R1.20 per minute (R3.60 / 3 minutes), and then the cost remains R3.60 for calls longer than 3 minutes but shorter than 60 minutes.

  • On-net (Both FreeCom and Talkcom): $$C_{\text{On-net}}(t) = \begin{cases} 1.20t & \text{if } 0 < t \le 3 \\ 3.60 & \text{if } 3 < t < 60 \end{cases}$$

Graphing Instructions:

1. Draw a set of axes. Label the horizontal axis "Call Duration (minutes)" and the vertical axis "Cost (Rands)".
2. Plot the line for FreeCom Off-net: This is a straight line starting from (0,0) with a gradient of 1.20. For example, at $t=10$ minutes, $C = \text{R}12.00$.
3. Plot the line for Talkcom Off-net: This is a straight line starting from (0,0) with a gradient of 0.79. This line will be less steep than FreeCom's off-net line. For example, at $t=10$ minutes, $C = \text{R}7.90$.
4. Plot the tariff for On-net calls:
   • For $0 < t \le 3$ minutes, draw a straight line from (0,0) with a gradient of 1.20, reaching the point (3, R3.60).
   • For $3 < t < 60$ minutes, draw a horizontal line from (3, R3.60) to (60, R3.60).
5. Label each line clearly on the graph (e.g., "FreeCom Off-net", "Talkcom Off-net", "On-net Calls").