Here's how the wavelength changes when the frequency of waves traveling at the same speed increases:

The wavelength will decrease.

Here's why:

* The relationship: The speed of a wave (v), its frequency (f), and its wavelength (λ) are related by the following equation:

v = fλ

* Constant speed: If the speed (v) remains constant, then frequency and wavelength are inversely proportional. This means:

* As frequency (f) increases, wavelength (λ) must decrease to maintain the same speed.

* As frequency (f) decreases, wavelength (λ) must increase to maintain the same speed.

Example:

Imagine you're shaking a rope to create waves.

* Higher frequency (faster shaking): The waves become more closely spaced, meaning the wavelength decreases.

* Lower frequency (slower shaking): The waves become more spread out, meaning the wavelength increases.

In summary: For waves traveling at a constant speed, an increase in frequency results in a decrease in wavelength.