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Mathematics 18 Online
OpenStudy (anonymous):

PLEASE HELP!!!!!!!!! Which is the direct linear variation equation for the relationship? y varies directly with x and y = 12 when x = 4. A. y = x – 8 B. y = 2x + 4 C. y = x + 8 D. y = 3x

jimthompson5910 (jim_thompson5910):

two hints: direct variation equations are ALWAYS in the form y = kx make sure that the point (4,12) lies on the line (so plug in both values and see if you get a true equation or not)

jimthompson5910 (jim_thompson5910):

also, in y = kx, the k is some constant yet to be determined

OpenStudy (anonymous):

But all the equations except A are all equal to 12

jimthompson5910 (jim_thompson5910):

keep the form y = kx in mind and you have to make sure that plugging in x = 4 gives you y = 12

jimthompson5910 (jim_thompson5910):

both facts have to be true

OpenStudy (anonymous):

yes they both are true on b, c, and d

OpenStudy (anonymous):

A is not true

jimthompson5910 (jim_thompson5910):

you sure? look at the form I gave you again

OpenStudy (anonymous):

Ohhhhh its D right? It has to be in this form y = kx

jimthompson5910 (jim_thompson5910):

correct, in this case, k = 3

jimthompson5910 (jim_thompson5910):

basically, 4 directly scales to 12 (multiply by 3) there are no addition/subtraction operations done afterwards...otherwise, it's not direct scaling

jimthompson5910 (jim_thompson5910):

that's how I remember direct variation

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

can you help me on my other question?

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