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Six houses are located along the same road; the distances are shown. Where should the school bus stop to make the sum of distances from every house to the stop as small as possible?
PLEASE ANSWER ASAP!! I NEED IT TODAY!! I DON'T GET IT!! :(
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Six houses are located along the same road the distances are shown Where should the school bus stop to make the sum of distances from every house to the stop as class=

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penfila11Pen
Hey there :)

Now lets name each house

    A             B              C              D             E                  F
500ft <-> 500ft <-> 500ft <-> 500ft <-> 500ft   <->   2000ft

Let's say the bus stops at A
= 0 ( from A ) + 500 ( from B ) +  500 + 500 ( from C ) + 500 + 500 + 500 ( from D ) + 500 + 500 + 500 + 500 ( from E ) + 500 + 500 + 500 + 500 + 2000 ( from F )
= 0 + 500 + 1000 + 1500 + 2000 + 4000
= 9000 ft

at B
= 500 ( from A ) + 0 ( from B ) + 500 ( from C ) + 500 + 500 ( from D ) + 500 + 500 + 500 ( from E ) + 500 + 500 + 500 + 2000 ( from F )
= 500 + 0 + 500 + 1000 + 1500 + 3500
= 7000 ft

at C
= 500 ( from A ) + 500 + 500 ( from B ) + 0 ( from C ) + 500 ( from D ) + 500 + 500 ( from E ) + 500 + 500 + 2000 ( from F )
= 500 + 1000 + 0 + 500 + 1000 + 3000
= 6000 ft

Do the same for D ,  E  and F

at D
= 6000 ft

at E 
= 7000 ft

at F
= 15000 ft

You will find that the bus should stop at either C or D to make the sum of distances from every house to the stop as small as possible. 

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