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3 use table 3 to determine the cost for Option A when 0 minutes are used 4 calculate the tariff (cost per minute) for Option B using any point from the table 5 the two lines cross at a specific point on the graph. Use the graph to estimate the number of minutes where Option A becomes cheaper than Option B

Economics

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Answers

3 parts
3.3

R180\text{R180}

3.4

R2.40 per minute\text{R2.40 per minute}

3.5

150 minutes\text{150 minutes}

Step-by-step solution

6 steps

Part 3.3· 2 steps

  1. Locate "TABLE 3

    CELLPHONE COST DATA".

  2. Find the row for "Option A Cost" and the column for "Minutes" equal to 0.

    From the table, when 0 minutes are used, the cost for Option A is R180\boxed{\text{R180}}.

Part 3.4

R2.40 per minute\text{R2.40 per minute}

  1. Choose a point from the "Option B Cost" row in Table 3.

    Let's use the point (50 minutes, R120).

  2. Calculate the tariff (cost per minute) by dividing the total cost by the number of minutes.

    Tariff=Total CostMinutes\text{Tariff} = \frac{\text{Total Cost}}{\text{Minutes}} Tariff=R12050 minutes\text{Tariff} = \frac{\text{R}120}{50 \text{ minutes}} Tariff=R2.40 per minute\text{Tariff} = \text{R}2.40 \text{ per minute}

    The tariff for Option B is R2.40 per minute\boxed{\text{R2.40 per minute}}.

Part 3.5

150 minutes\text{150 minutes}

  1. Locate the intersection point of the two lines on GRAPH 1.

    The two lines cross where their costs are equal.

  2. Estimate the number of minutes (x-axis value) at this intersection point.

    The lines intersect approximately at 150 minutes. After this point, the line for Option A (lower line) is below the line for Option B (upper line).
    Option A becomes cheaper than Option B at approximately 150 minutes\boxed{\text{150 minutes}}.

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