Thread: help again :)

which number is on the number line are 3 times as far from 13 as they are from 5???
a)1 only
b)11 only
c)1 and 7
d)11 and 17

this question i dont understand really well

Originally Posted by kl050196

which number is on the number line are 3 times as far from 13 as they are from 5???
a)1 only
b)11 only
c)1 and 7
d)11 and 17

this question i dont understand really well

when dealing with distance on the number line, "absolute values" is one of the first things that should come to mind.

here we want to find all x such that

|x - 13| = 3|x - 5|

that is, the distance from x to 13 is 3 times the distance from x to 5

just solve this equation for x now

Originally Posted by kl050196

which number is on the number line are 3 times as far from 13 as they are from 5???
a)1 only
b)11 only
c)1 and 7
d)11 and 17

this question i dont understand really well

Just plug the numbers in and see what you get!

1:
distance from 5: 4
distance from 13: 12
three times as far? yes

11:
distance from 5: 6
distance from 13: 2
three times as far? yes

...and so forth.