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GRAPHS, FUR1 2002 VCAA 2 MC

A courier company’s charges are based on the distance required to deliver a parcel. Within a radius of  `40`  km, charges can be determined from a graph like that shown below.

2002VCAA-Graphs-2

Which one of the following rules could be used to describe this graph?

A.   `C ={(10 text( for ) \ \ 0 < x < 10),(20 text( for ) 10 < x < 20),(40 text( for ) 20 < x < 40) :}`

B.   `C ={(10 text( for ) \ \ 0 ≤ x ≤ 10),(20 text( for ) 10≤ x ≤ 20),(40 text( for ) 20 ≤ x ≤ 40) :}`

C.   `C ={(10 text( for ) \ \ 0 < x ≤ 10),(20 text( for ) 10 < x ≤ 20),(40 text( for ) 20 < x ≤ 40) :}`

D.   `C ={(10 text( for ) \ \ 0 ≤ x < 10),(20 text( for ) 10≤ x < 20),(40 text( for ) 20 ≤ x < 40) :}`

E.   `C ={(10 text( for ) \ \ 0 < x < 10),(20 text( for ) 10≤ x ≤ 20),(40 text( for ) 20 < x < 40) :}`

 


Show Answers Only

`C`

Show Worked Solution

`text(From the graph)`

`text(Open circle means not inclusive)`

`text(Closed circle means inclusive)`

`:.\ ` `10\ \ text(for)\ \ \ \ 0 < x ≤ 10`
  `20\ \ text(for)\ \ 10 < x ≤ 20`
  `40\ \ text(for)\ \ 20 < x ≤ 40`

`=>  C`

Filed Under: Geometry FUR1 lost

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