Final answer:
Increasing the frequency of a wave by a factor of 5.1 results in a decrease in the wavelength by the same factor, due to their inverse relationship within a constant wave speed.
Step-by-step explanation:
To describe how the wavelength of a wave changes if the frequency of the wave is multiplied by 5.1, we must first understand the relationship between the two. The relationship is given by the equation v = fλ, where v is the speed of the wave within a medium, f is the frequency, and λ (lambda) represents the wavelength. Given that the speed of the wave is constant in a particular medium, if the frequency is multiplied by 5.1, the wavelength must be divided by 5.1 to maintain the same speed. Therefore, the wavelength becomes 5.1 times shorter when the frequency is multiplied by the same amount.