Final answer:
The function y = 1500cosx has infinitely many zeros since the cosine function has zero points at each odd multiple of π/2 and repeats itself indefinitely.
Step-by-step explanation:
To determine how many zeros the function y = 1500cosx has, we need to understand the properties of the cosine function. The cosine function has zero points at each odd multiple of π/2 within its domain. Since cosx oscillates between -1 and 1, when it equals zero, the entire function y = 1500cosx will also equal zero. This happens at x = (2n + 1)π/2, where n is an integer. Therefore, there will be infinitely many zeros for this function as x approaches infinity in both directions on the x-axis.