Question

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 time in minutes.What is the whale’s depth after 4 minutes?

Answer 1

Answer:

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

435.5 meters below water surface.

Step-by-step 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 $d(t)=-108*t-3.5$.

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.