Asked by Patrick
HELP! Input:1 1/3 Output 7/12 Input 2 3/5 Output 1 17/20 Input 3 5/6 Output ? Input ? Output 3 5/8. What is the rule, and what are the question marks values?
Answers
Answered by
Reiny
consider it to be the ordered pairs
(4/3 , 7/12) and (13/5 , 37/20) and the relation is linear , since only 2 points were given
slope = (37/20 - 7/12) / (13/5 - 4/3) = 1
so y - 7/12 = x - 4/3
multiply be 12
12y - 7 = 12x - 16
<b>12x - 12y = 9</b>
or
<b>4x - 4y = 3</b>
so the input is your x , the output is your y
for input 3 5/6 or 23/6
4(23/6) + 4y = 3
4y = 3 - 46/3
y = - 37/12 ---> output
You try the other one
(4/3 , 7/12) and (13/5 , 37/20) and the relation is linear , since only 2 points were given
slope = (37/20 - 7/12) / (13/5 - 4/3) = 1
so y - 7/12 = x - 4/3
multiply be 12
12y - 7 = 12x - 16
<b>12x - 12y = 9</b>
or
<b>4x - 4y = 3</b>
so the input is your x , the output is your y
for input 3 5/6 or 23/6
4(23/6) + 4y = 3
4y = 3 - 46/3
y = - 37/12 ---> output
You try the other one
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