Question

the rate of change of y is proportional to y. When x=0, y=6 and when x=4, y=15. Write and solve the differential equation that models this verbal statement. Then find the value of y when x=8.

Answer 1

f(0) = 6 and f(4) = 15
correct?

Answer 2

Yes

Answer 3

m = (y2-y1)/(x2-x1)
= (15-6)/(4-0)
= 9/4

then evaluate at x= 8