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5 December, 14:33

A truck rental company rents a moving truck for one day by charging $ 34 plus $ 0.05 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven.

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  1. 5 December, 14:50
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    C = 0.05*x + 34

    Explanation:

    There are several ways to approach this problem. However, we will follow a logical and simple procedure.

    It is always possible to write any linear equation as:

    y = mx + b, where:

    m = slope

    b = y-intercept (value when x = 0)

    The problem statement guarantees us that b=34, because if we do not drive any mile (x=0), then the cost should be equal to $ 34. Also, we know that m=0.05, because every driven mile (increase in x by 1) the cost should increase by $5. Therefore, we can write the linear equation as:

    y = 0.05x + 34

    Changing the dependent variable y for C (to relate it with the cost) we have that:

    C = 0.05x + 34
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