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For the given data on minutes and total cost, identify the dependent variable and determine which option represents a direct proportion.

Mathematics

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2 parts
3.1

Total Cost (R)\text{Total Cost (R)}

3.2

Option B\text{Option B}

Step-by-step solution

4 steps

Part 3.1· 2 steps

  1. Identify the variables presented in the table and graph.

    The table and graph show "Minutes" and "Total Cost (R)".

  2. Determine which variable changes in response to the other.

    The total cost depends on the number of minutes used.
    The dependent variable for this data is the Total Cost (R)\boxed{\text{Total Cost (R)}}.

Part 3.2

Option B\text{Option B}

  1. Recall the definition of a direct proportion relationship.

    A direct proportion relationship is represented by a straight line that passes through the origin $(0,0)$.

  2. Examine the graph for Option A and Option B.

    Option A starts at a cost of R180 for 0 minutes, so it does not pass through the origin.
    Option B starts at a cost of R0 for 0 minutes and shows a linear increase.
    Option B represents a direct proportion relationship.
    Reason: Option B\boxed{\text{Option B}} represents a direct proportion because its graph is a straight line that passes through the origin (0,0)(0,0), meaning the cost is R0 when 0 minutes are used, and the cost increases proportionally with the minutes used.

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