Question

the speed that a tsunami can travel is modeled by the equation $s = 356\sqrt{d}$, where $s$ is the speed in kilometers per hour and $d$ is the average depth of the water in kilometers. what is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?
1.12 km
3.17 km
0.75 km
0.32 km

Explanation:

Step1: Sustituir S en la ecuación

Dado \( S = 200 \), sustituimos en \( S = 356\sqrt{d} \): \( 200 = 356\sqrt{d} \)

Step2: Despejar \(\sqrt{d}\)

Dividimos ambos lados por 356: \( \sqrt{d} = \frac{200}{356} \approx 0.5618 \)

Step3: Elevar al cuadrado para encontrar d

Elevamos ambos lados al cuadrado: \( d = (0.5618)^2 \approx 0.3156 \approx 0.32 \)

Answer:

0.32 km