The center of an ice rink is located at (0, 0) on a coordinate system measured in feet. Sandi skates along a path that can be modeled by the equation y = 0.08x2 - 1.6x + 13.

David starts at (20, 13) and skates along a path that can be modeled by a quadratic function with a vertex at (10, 5).

Which system of equations models the paths of the two skaters?

⇒y = 0.08x2-1.6x+13 and y = 0.08(x-10)2+5
y = 0.08x2-1.6x+13 and y = 1.6(x-10)2+5
y = 0.08x2-1.6x+13 and y = 0.8(x-10)2+5
y = 0.08x2-1.6x+13 and y = 5(x-10)2+5

How many real solutions does the system of equations have?

✔ infinitely many

What can you conclude about the paths of the skaters?

There is no chance that the skaters will hit each other.
The skaters' paths cross each other at two different points on the rink.
⇒The skaters are traveling on the same path, but possibly in different directions.