Question

. 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.

Answer 1

The length of the sailboat is 80 feet.

Explanation:

The function

`s(l) = 1.34 √(l)` ................ (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

`12 = 1.34 √(l)`

⇒
`√(l) = 8.955`

⇒
`l = (8.955)^(2)  = 80` feet (Answer)

{The value is round to the nearest foot}