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A landline telephone service has a monthly rental fee of R199. The cost of each call is R0.75 per minute. Let C be the total monthly cost and m be the number of minutes of calls made. Calculate A and

Mathematics

ScanSolve AI Answer

Answer

A=R202.00A = \text{R}202.00

B=10B = 10

199 + 0.75m

Step-by-step solution

2 steps

1.
The telephone cost is R199 even with zero calls because Ms. Xaba pays a monthly rental fee of R199 for the landline service, which is a fixed charge regardless of usage.

2.

  1. Calculate the value of A.

    A corresponds to 4 minutes of calls. The monthly rental is R199 and the call cost is R0.75 per minute.

    A=Monthly rental+(Number of minutes×Call cost per minute)A = \text{Monthly rental} + (\text{Number of minutes} \times \text{Call cost per minute}) A=R199+(4×R0.75)A = \text{R}199 + (4 \times \text{R}0.75) A=R199+R3.00A = \text{R}199 + \text{R}3.00 A=R202.00A = \text{R}202.00
  2. Calculate the value of B.

    B represents the number of minutes when the telephone cost is R206.50.

    Cost=Monthly rental+(B×Call cost per minute)\text{Cost} = \text{Monthly rental} + (\text{B} \times \text{Call cost per minute}) R206.50=R199+(B×R0.75)\text{R}206.50 = \text{R}199 + (\text{B} \times \text{R}0.75) R206.50−R199=B×R0.75\text{R}206.50 - \text{R}199 = \text{B} \times \text{R}0.75 R7.50=B×R0.75\text{R}7.50 = \text{B} \times \text{R}0.75 B=R7.50R0.75\text{B} = \frac{\text{R}7.50}{\text{R}0.75} B=10\text{B} = 10

    The values are A=R202.00\boxed{A = \text{R}202.00} and B=10\boxed{B = 10}.

    3.
    Let CC be the telephone cost and mm be the number of minutes.

    Telephone cost=Monthly rental+(Call cost per minute×Number of minutes)\text{Telephone cost} = \text{Monthly rental} + (\text{Call cost per minute} \times \text{Number of minutes}) Telephone cost=199+0.75m\text{Telephone cost} = \boxed{199 + 0.75m}

    4.
    The grid for drawing the graph is not provided in the image. Therefore, the graph cannot be drawn.
    The points to be plotted would be:

    (0,199),(1,199.75),(2,200.50),(3,201.25),(4,202.00),(5,202.75),(10,206.50),(20,214),(50,236.50)(0, 199), (1, 199.75), (2, 200.50), (3, 201.25), (4, 202.00), (5, 202.75), (10, 206.50), (20, 214), (50, 236.50)

    The graph would be a straight line with a y-intercept of 199 and a slope of 0.75.

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