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Write down the formula to calculate the cost of a single trip, where x will represent the number of hours travelled and y represent the cost of the trip.

Mathematics

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Answer

y=30x+50y = 30x + 50

Step-by-step solution

3 steps
  1. Identify the fixed and variable costs.

    The bus company charges a flat rate of R50\text{R}50. This is the fixed cost.
    The bus company charges R30\text{R}30 for every hour of the trip per person. This is the variable cost per hour.

  2. Write the formula for the cost of a single trip.

    Let xx represent the number of hours traveled and yy represent the cost of the trip.
    The total cost yy is the sum of the flat rate and the hourly rate multiplied by the number of hours.

    y=50+30xy = 50 + 30x

    The formula to calculate the cost of a single trip is y=30x+50\boxed{y = 30x + 50}.

  3. Complete the table using the formula y=30x+50y = 30x + 50.

    • For x=0x = 0 hours: y=30(0)+50=0+50=50y = 30(0) + 50 = 0 + 50 = 50
    • For x=1x = 1 hour: y=30(1)+50=30+50=80y = 30(1) + 50 = 30 + 50 = 80
    • For x=2x = 2 hours: y=30(2)+50=60+50=110y = 30(2) + 50 = 60 + 50 = 110
    • For x=3x = 3 hours: y=30(3)+50=90+50=140y = 30(3) + 50 = 90 + 50 = 140

    Here is the completed table:

    Number of hours (xx)0123
    Cost of trip (yy)5080110140
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