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GRAPHS, FUR1 2005 VCAA 4 MC

2005VCAA-Graphs-4

If the line above has equation  `3x + 2y = 4k`, then the value of  `k`  must be

A.     2

B.     3

C.     6

D.     8

E.   12

 


Show Answers Only

`C`

Show Worked Solution

`3x + 2y = 4k \ \ \ …\ text{(i)}`

`text(From the graph,)\ (0, 12)\ text(and)\ (8, 0)`

`text(passes through this line)`

`text(Sub)\ (0, 12)\ text(into)\ text{(i)}`

`3(0) + 2(12)` `= 4k`
`24` `= 4k`
`k` `= 6`

`=>  C`

Filed Under: Geometry FUR1 lost

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