Wave velocity dependent only on medium

[reising1]

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So I have always studied that a wave speed only depends on the medium. And sure, I can memorize that any day.

But in practice, I just don't understand how this is possible. The equation for velocity is wavelength*frequency.

Here's an example:
665. Compared to a 440 Hz sound wave, a 880 Hz sound wave will travel
A. half as fast
B. the same speed
C. twice as fast
D. four times as fast
Answer: B

Okay, so my flashcard would agree. But how is this really possible? If frequency increases, then according to the velocity equation above, so should velocity. So what's going on here?

 

[Vurday]

Wavelength will decrease to match the increase in frequency, allowing for the same velocity