. The function s(l) = 1.34 √l models the maximum speed s in knots for a sailboat with length l in feet at the waterline. a. Use the model to find the length of a sailboat with a maximum speed of 12 knots. Round to the nearest foot.

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Answer:

The length of the sailboat is 80 feet.

Step-by-step explanation:

The function  

[tex]s(l) = 1.34 \sqrt{l}[/tex] ................ (1)  

models the maximum speed s in knots for a sailboat with length l in feet at the waterline.

So, using this model we have to find the length of a sailboat with a maximum speed of 12 knots.

Now, from equation (1) we get

[tex]12 = 1.34 \sqrt{l}[/tex]

⇒ [tex]\sqrt{l} = 8.955[/tex]

⇒ [tex]l = (8.955)^{2}  = 80[/tex] feet (Answer)

{The value is round to the nearest foot}

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