Y=2,x=30 and Y=6,x=50

Find the relationship between x and y.
Find x when y=3

3 answers

Incomplete question
if it is a linear relationship, then
y=ax+b and using the first data point
2=30a+b and the second data,
6=60a+b

subtracting the first equation from the second
4=30a
or a=2/15

then
y=2/15 x +b
2=2/15 *30 + b
b=-2

finally,
y=2/15 x -2
3=2/15 x -2
45=2x-30
2x=75
x=you do it.
So you have two ordered pairs:
(30,2) and (50,6)
slope = (6-2)/(50-30) = 4/20 = 1/5

equation:
y-2 = (1/5)(x-30)
5y - 10 = x - 30

x - 5y = 20 ----> that's your relationship

then if y = 3,
x - 15 = 20
x = 35
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