Given that y varies directly as x and y = 18 when x = 6 Find the value of y when x=5 find the value of x when y=30 ​

Question

Given that y varies directly as x and y = 18 when x = 6

Find the value of y when x=5
find the value of x when y=30

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Adalyn 4 weeks 2021-11-07T04:42:43+00:00 1 Answer 0 views 0

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    2021-11-07T04:43:45+00:00

    Answer:   y = 15,    x = 10

    Step-by-step explanation:

    NOTE: “varies directly” is of the form    \dfrac{y}{x}=k  where k is the constant of proportionality.

    First, input the given x and y-values to find k

    \dfrac{y}{x}=k\qquad \qquad \text{Given: y=18, x=6}\\\\\dfrac{18}{6}=k\\\\\boxed{3=k}

    Next, input the given value and k = 3 to solve for the missing variable.

    x = 5\\\\\dfrac{y}{5}=3\\\\\large\boxed{y = 15}\\\\\\y=30\\\\\dfrac{30}{x}=3\\\\\dfrac{30}{3}=x\\\\\large\boxed{10 = x}

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45:7+7-4:2-5:5*4+35:2 =? ( )