From an elevation of 3.5m below the surface of the water, a northern bottle nose whale dives at a rate of 1.8m/s.Write a rule that gives the whale’s depth d as a function of tim…

Question

asked Aug 25, 2019 215k views

1 Answer

Nehel · Answer 1 · 2019-08-28T22:56:30+0000

Answer:

d(t)=-108*t-3.5 .

435.5 meters below water surface.

Explanation:

We have been given that from an elevation of 3.5 m below the surface of the water. A northern bottle nose whale dives at a rate of 1.8 m/s.

Let us convert whale's dive rate in terms of meters per minute.

Since we know that 1 minute=60 seconds so we will multiply whale's dive rate by 60 to convert it in meters per minute.

$1.8\frac{\text{meters}}{\text{second}} =1.8*60\frac{\text{meters}}{\text{minute}}$

$108\frac{\text{meters}}{\text{minute}}$

We can write a rule that gives the whale's depth d as a function of time in minutes as:

d(t)=-108t-3.5

Therefore, our function will be
.

Now let us find whale's depth after 4 minutes by substituting t=4 in our function.

d(4)=-108*4-3.5

d(4)=-432-3.5

d(4)=-435.5

Therefore, after 4 minutes whale will be 435.5 meters below water surface.