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  1. The constant of proportionality is [tex]\frac{9}{2}[/tex]

    Step-by-step explanation:

    The constant of proportionality is the ratio between two directly proportional quantities

    If x and y are in directly proportion, then [tex]\frac{y}{x}=k[/tex] , where k is the constant of proportionality.The direct proportion can be represented by a line whose equation is y = kx, where k is the slope of the line.

    To find the constant of proportionality from the given graph choose a point on the line and substitute x and y in the equation of the proportionality by the coordinates of the point.

    ∵ Point (4, 18) lies on the line

    ∴ x = 4, y = 18

    ∵ The equation is y = kx

    → Substitute x by 4 and y by 18

    ∴ 18 = k(4)

    ∴ 18 = 4k

    → Divide both sides by 4 to find k

    ∴ [tex]\frac{18}{4}=\frac{4k}{4}[/tex]

    ∴ [tex]\frac{18}{4}=k[/tex]

    → Simplify the fraction by dividing up and down by 2

    ∴ [tex]\frac{9}{2}=k[/tex]

    ∴ The constant of proportionality is [tex]\frac{9}{2}[/tex]

  2. Probably the sentence “They needed ways to move around in the city.

    Explanation: The paragraph would be fine without the sentence.

  3. The trend quickened after 1860 and continued throughout the 21st century as well.

    Explanation:

    this one because you are telling the same thing basically with the whole article and the last sentence.

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