Which of the following equations will produce the graph shown below? A. x^2/100+y^2/64=1 B. x^2/100-y^2/64=1 C. x^2/64-y^2/36=1

You can see that is a ellipse so the equations with the signs (-) cant be because they are hyperbolas.

So that eliminates B and C.

It would be an ellipse:

horizontal ellipse: x^2 / a^2 + y^2 / b^2 = 1

where 2a is length of major axis 2b is minor axis thus a = 10, b=8

x^2/100 + y^2/64=1