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# We know that y varies directly as 6 more than three times x. When y is 2, then x is 1, and when y is 3, the value of x is k. What is the val

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We know that y varies directly as 6 more than three times x. When y is 2, then x is 1, and when y is 3, the value of x is k. What is the value of the expression −|−2k+3|?

Apr 12, 2020

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Apr 12, 2020
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"y varies directly as 6 more than three times x"

-- there is a multiplier in this formula, call this multiplier "m"

-- then this equation becomes:  y  =  m·(6 + 3x)

"when y is 2, then x is 1"

-- substituting these values into our formula, we have:  2  =  m·(6 + 3·1)

-- solving for m:                                                               2  =  m·(9)

m  =  2/9

-- therefore, our formula is:  y  =  (2/9)·(6 + 3x)

"when y is 3, the value of x is k"

-- substituting these values into our formula, we have:  3  =  (2/9)·(6 + 3k)

-- solving for k:                                                             27  =  12 + 6k

15  =  6k

k  =  5/2  or  2.5

Now, you need to find:  -|-2k + 3|

-- substitute 2.5 into this expression to find the answer.

Apr 12, 2020