SOLUTION: Y is partly constant and partly varies as x when x=2,y=5 and when x=3,y=10 find the formula connecting y and x

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Question 1178834: Y is partly constant and partly varies as x when x=2,y=5 and when x=3,y=10 find the formula connecting y and x




Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

y is partly constant and partly varies as x
y+=+kx+%2B+c
when x=2,y=5+
5=+2k+%2B+c.......solve for c
c=5-2k+...........eq.1
when x=3,y=10+
10=+3k+%2B+c.......solve for c
c=10-3k+...........eq.2

from eq.1 and eq.2 we have

5-2k+=10-3k+......solve for k
3k-2k+=10-5+
k+=5+
go to
c=5-2k+...........eq.1....substitute k
c=5-2%2A5+
c=5-10+
c=-5+
the formula connecting y and x is:
y+=+5x+-5