SOLUTION: All work needed to arrive at a correct answer. If it is not a question that requires work, you will need to provide a complete explanation of how you determined the correct answer.

Question 71478: All work needed to arrive at a correct answer. If it is not a question that requires work, you will need to provide a complete explanation of how you determined the correct answer. (Explanations for those problems not requiring work must demonstrate your understanding of the concept.)
The correct answer

If x varies directly as y and x is 25 when y is 5, find the constant of variation.
Which of the following relations is NOT a function?
(2,1), (1,-2), (-3,2), (2,-3)
(2,-1), (-1,2), (-2,3), (3,-2)
(-3,-2), (-1,0), (0,1), (1,2)
(-2,1), (-1,2), (1,1), (2,3)
This equation, 6x + 3y = 15, crosses the y axis at ______.
The sum of three consecutive ODD integers is 75.
Write the equation you would use to find these integers.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If x varies directly as y and x is 25 when y is 5, find the constant of variation.
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If x varies directly as y, y=kx where k is the constant of variation.
Find k.
If x is 25 when y is 5 the solve for "k": 5=k*25; k=1/5
------------------------
Which of the following relations is NOT a function?
(2,1), (1,-2), (-3,2), (2,-3)
(2,-1), (-1,2), (-2,3), (3,-2)
(-3,-2), (-1,0), (0,1), (1,2)
(-2,1), (-1,2), (1,1), (2,3)
They are all functions because each x value has one y value associated with it.
--------------------
This equation, 6x + 3y = 15, crosses the y axis at ______.
You want the y-intercept.
Let x=0, then 6*0+3y+15; 3y=15; y=5
That is the y-intercept.
The line crosses the y-axis at (0,5)
--------------------------
The sum of three consecutive ODD integers is 75.
Write the equation you would use to find these integers.
Every odd integer is one more than an even integer.
Every even integer is a multiple of 2.
so every even integer can be written as 2x.
Therefore every odd integer can be written as 2x+1.
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EQUATION:
(2x+1) + (2x+3) + (2x+5) = 75
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Cheers,
Stan H.

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