Time (hours) Cost (dollars) 1 180 2 240 3 300 4 360 5 420 6 480 7 540 8 600 The table gives the cost for renting a limousine from Grey’s Li

Question

Time (hours) Cost (dollars) 1 180 2 240 3 300 4 360 5 420 6 480 7 540 8 600 The table gives the cost for renting a limousine from Grey’s Limousine Rental. Which equation represents the company’s fare structure, based on the amount of time it is rented? A. y = 60x B. y = 120x + 60 C. y = 60x + 120 D. y = 75x + 60

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    0
    2021-11-26T10:12:52+00:00

    For this case we have:

    By definition, two points are needed to find the equation of a line. We have a series of points given by:

    (x, y) = (time, cost)

    We chose two points:

    (t1, c1) = (1,180)\\(t2, c2) = (2,240)

    By definition, the formula of the slope is given by:

    m =\frac{(c2-c1)}{(t2-t1)}

    Substituting:

    m =\frac{240-180}{2-1}

    m =\frac{60}{1}\\m = 60

    Being a line of the form y = ax + b, we substitute a point and the slope found to find the cut point b.

    180 = 60 * 1 + b\\180 = 60 + b\\b = 180-60\\b = 120

    Thus, the equation of the line is given by:

    y = 60x + 120

    Answer:

    Option C

    0
    2021-11-26T10:13:17+00:00

    Answer:

    C

    Step-by-step explanation:

    I took it and got it right

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