# algebra

Determine whether y varies directly with x, If so, find the constant of variation k and write the equation.
x y
4 6.4
7 11.2
10 16
13 20.8

Would like for someone to explain if possible

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1. Assume y varies direct with x
then y = kx
testing with (10,16)
16 = 10k
k = 1.6

so your equation would be y = 1.6x
check if true for the other points

e.g. the last one ...
x = 13, y = 20.8
is 20.8 = 1.6(13) ? , YES
check if true for all points, if so,
then y varies directly with x and
y = 1.6x

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2. I think you are saying I need to figure each set of numbers like you did for every number set and they do.But how do you know which number set to start with or write the equation? I got the same answers by divivding the number sets.

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3. find the diagonal of a rectangle whoes sides are 2000 an 400

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4. I checked Reiny's work and from what I can tell it's correct :)

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5. 6.4 = k*4
k = 6.4 / 4
k = 1.60

11.2 = k * 7
k = 11.2 / 7
k = 1.60

16 = k * 10
k = 16/10
k = 1.60

20.8 = k * 13
k = 20.8/13
k = 1.60

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6. It's the right answer i am sure :), good luck !, if you have an questions please let me know, i am here to help ! ^V^

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