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?
0.32 km
0.75 km
1.12 km
3.17 km

Explanation:

Step1: Substitute given speed into formula

Given $S = 358\sqrt{d}$ and $S = 200$. So, $200=358\sqrt{d}$.

Step2: Solve for $\sqrt{d}$

Divide both sides by 358: $\sqrt{d}=\frac{200}{358}\approx0.5587$.

Step3: Solve for $d$

Square both sides: $d=(0.5587)^2\approx 0.32$.

Answer:

0.32 km