The rate of change of y with respect to x is one-half times the value of y. Find an equation for y, given that y = -7 when x = 0.

You get:
A. y=-7e^0.5x
B. y=e^0.5x -7
C. y=-7(1/2)^x
D. y=-7(1/2)e^x
E. dy/dx=1/2*y

2 answers

come on. it's very similar.
I see you didn't take my suggestion to use math instead of words, either.

dy/dx = y/2
dy/y = 1/2 dx
lny = x/2 + c
y = c*e^(x/2)
Now use y(0) = -7 to finish it off

and next time, try showing some of your work when asking for help.
It's A, y=-7e^0.5x