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Determine the formula to represent the cost for 7 sedan seater, identify the dependent variable and independent variable.

Mathematics

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5 steps

2.2.1

  1. Identify the components of the cost for a 7-seater sedan vehicle.

    From the description, there is a fixed amount of R 2 000.00 and an additional cost of R 14.15 per km.

  2. Formulate the equation.

    Let CC be the total cost and xx be the number of kilometers (Km).

    Cost=Fixed amount+(Cost per km×Number of Km)\text{Cost} = \text{Fixed amount} + (\text{Cost per km} \times \text{Number of Km}) Cost=2000+14.15x\text{Cost} = \boxed{2000 + 14.15x}

    2.2.2

  3. Determine the value of A.

    A is the cost for a 5-seater sedan vehicle when the number of Km is 340. The hiring cost for a 5-seater is R 25.00 per km.

    A=25.00×340A = 25.00 \times 340 A=R 8500.00A = \boxed{\text{R 8500.00}}

  4. Determine the value of B.

    B is the cost for a 5-seater sedan vehicle when the number of Km is 300. The hiring cost for a 5-seater is R 25.00 per km.

    B=25.00×300B = 25.00 \times 300 B=R 7500.00B = \boxed{\text{R 7500.00}}

  5. Determine the value of C.

    C is the cost for a 7-seater sedan vehicle when the number of Km is 250. Using the formula from 2.2.1:

    C=2000+14.15×250C = 2000 + 14.15 \times 250 C=2000+3537.50C = 2000 + 3537.50 C=R 5537.50C = \boxed{\text{R 5537.50}}

    2.2.3

    • The dependent variable is the Cost of hiring the vehicle.
    • The independent variable is the Number of Km (kilometers driven).
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