X is partly constant and partly varies as y.when y=2,x=30,and when y=6,x=50.

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

9 answers

"X is partly constant and partly varies as y"
---> x = ky + p
when y=2,x=30 ---> 30 = 2k + p
when y=6,x=50 ---> 50 = 6k + p
subtract: 20 = 4k
k = 5
sub back in the first: 30 = 10+p
p = 20

x = 5y + 20

now you can answer B

notice this is just a variation of y = mx + b
x = c + k y
30 = c + 2k
50 = c + 6k
---------------------subtract
-20 = -4k
k = 5
so 30 = c + 10
c = 20
x = 20 + 5 y or y = x/5 -4
and if y = 3 then
x = 20 + 5*3 = 20+15 = 35
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