Answer:
graph A
Step-by-step explanation:
A graphing calculator can plot this function for you.
If you divide numerator and denominator by 25, you get ...
r = 1/(0.4 -sin(θ))
This will have asymptotes at θ = arcsin(0.4). At those values of θ, the value of r will change sign, so the graph cannot be a parabola or ellipse.
The graph of the hyperbola is the appropriate choice.
