Question

Write the direct variation equation for the following: y varies directly with x and y = 60 when x = 10.
A. y = 1/6 x
B. y = -1/6 x
C. y = 6x
D. y = -6x

Please show steps so I can learn something

Answer 1

first statement "y varies directly with x " means
\[y=kx\]

Answer 2

you do not know "k" yet but second statement "y = 60 when x = 10"
tells you
\[60=k\times 10\] solve for k by dividing by 10 to get
\[6=k\] and you are done

Answer 3

well, you are done when you write
\[y=6x\]

Answer 4

thank you