Question

the speed that a tsunami can travel is modeled by the equation $s = 356sqrt{d}$, 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 0.75 km 3.17 km 0.32 km

Explanation:

Step1: Substitute $S = 200$ into formula

$200=356\sqrt{d}$

Step2: Isolate $\sqrt{d}$

$\sqrt{d}=\frac{200}{356}$

Step3: Square both sides to find $d$

$d = (\frac{200}{356})^2=\frac{40000}{126736}\approx 0.32$

Answer:

$0.32$ km