SOLUTION: The water depth d, in feet, at which a wave breaks varies directly with the height h, in feet, of the wave. A 6.5 foot wave breaks at a water depth of 8.45 feet. a. Write a lin

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Question 534021: The water depth d, in feet, at which a wave breaks varies directly with the height h, in feet, of the wave. A 6.5 foot wave breaks at a water depth of 8.45 feet.
a. Write a linear model that gives d as a function of h.
b. If a wave breaks at a depth of 5.2 feet, what is its height?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The water depth d, in feet, at which a wave breaks varies directly with the height h, in feet, of the wave.
A 6.5 foot wave breaks at a water depth of 8.45 feet.
:
a. Write a linear model that gives d as a function of h.
let k = the constant of variation
d = kh
8.45 = 6.5k
k = 8.45%2F6.5
k = 1.3
d = 1.3h
:
b. If a wave breaks at a depth of 5.2 feet, what is its height?
1.3h = 5.2
h = 5.2%2F1.3
h = 4 ft is the height of the wave, if the depth is 5.2 ft