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2 October, 00:27

Suppose that y varies directly with x and y=10 when x=20. What is y when x=15

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  1. 2 October, 00:36
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    y=kx

    subst y=10 and x=20 into the above

    10=k20

    k=10/20

    k=1/2

    therefore relationship: y=1/2x

    subst x=15 into the relationship

    y=1/2 (15)

    y=7,5

    Step by step explanation:

    Step 1: when they say y varies directly with x they mean y is proportional to x step 2: so y=kx where k is the constant step 3: is to substitute y=10 and x=20 into the above equation y=kx step 4: you will end up with 10=k20 then divide both sides by 20 so that k becomes the subject of the formula step 5: your answer from the above will be k=10/20 so the relationship is y is directly proportional to 1/2 x what you did here is that you substituted k for 1/2 in the equation in step 3 step 6: is to finally substitute x=15 into the equation y=1/2x to finally get your answer y=7,5.
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