Apps. and Interpretation for IBDP Maths Ebook 1 | Page 126

Your Practice Set – Applications and Interpretation for IBDP Mathematics
2. The diagram below shows the Voronoi diagram of four police stations, A , B , C and D ,
in a city, where 1 unit represents 1 km.
The straight line L is the boundary separating the Voronoi cells of A and C .
(a) (i) Find the gradient of L .
(ii)
Hence, find the equation of L , giving the answer in slope-intercept
form.
Takehiro would like to find a police station closest to his current position to report a
crime. His current position is at (5, 2) .
[4]
(b) State which police station would be the best choice for him.
[1]
The position of James’ home is at ( x , 3) , and his home is closest to the police station D
only.
(c) Write down the range of values of x .
[1]
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