it is a known fact that the snout of a florida crocodile is seen above water varies directly with its body length if you see a crocodiles snout above water that is 2 feet long the normal body length is 7 feet, therefore if you see a snout above water while canoeing that is approximately 3 1/2 feet how long to you estimate the crocodiles length ?''
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since body/snout is constant,
body/3.5 = 7/2
To estimate the length of the crocodile based on the length of the snout seen above water, we can use the given information that the snout length and the body length vary directly.
Let's denote the snout length as "s" and the body length as "b".
The problem states that if a crocodile has a snout length of 2 feet, its body length is 7 feet. We can represent this relationship as:
s = kb,
where "k" is the proportionality constant.
To find the value of "k," we can substitute the known values into the equation:
2 = k * 7.
Solving this equation for "k," we get:
k = 2/7.
Now, for the second part of the problem, let's assume that the snout length seen above water is approximately 3 1/2 feet. We can plug this value into our equation, using the proportionality constant we found:
s = (2/7) * b.
3 1/2 = (2/7) * b.
To find the estimated body length, let's solve this equation for "b":
(2/7) * b = 3 1/2.
Multiplying both sides of the equation by 7/2 (the reciprocal of 2/7) gives:
b = (3 1/2) * (7/2).
Performing the multiplication on the right side:
b = (7/2) * (7/2) = 49/4 = 12 1/4.
Therefore, we estimate the length of the crocodile to be approximately 12 1/4 feet when the snout seen above water is 3 1/2 feet.