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

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?

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    2021-10-13T20:33:26+00:00

    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.    

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