I only need part E, thank you ### The Deepwater Horizon Oil Spill ExerciseThe Deepwater Horizon oil spill began on April 20, 2010, and the well was not declared sealed until September of 2010. Suppose that the spill was relatively circular in shape, and that the radius of the spill increased at a rate of approximately 8 miles per day.#### Tasks:**a) Fill in the table below showing the radius in miles, $ r $, of the oil spill $ t $ days after April 20.**| $ t $ (days) | 0 | 2 | 4 | 6 ||----------------|---|---|---|---|| $ r(t) $ | 0 | 16 | 32 | 48 |**b) Write a formula for $ r $ as a function of $ t $.**\[ r(t) = 8t \]**c) Venice, Louisiana is approximately 50 miles from the site of the well. Approximately how long did it take for oil to wash up on the shores of Venice? Please round your answer up to the next whole number.**7 days**d) Assuming the spill was circular, write a formula for the area, $ A $, of the oil spill as a function of $ t $. Hint: recall that the area of a circle is given by $ \pi r^2 $.**\[ A(t) = \pi (8t)^2 \]**e) How many full days after the initial spill would it take to guarantee the area of the spill was 5000 square miles? Please round your answer up to the next whole number.**7 days

We will find the number of days for the oil spill to cover an are of 5000 square miles.

the site of the well. Approximately how long did it for oil to wash up on the shores of Venice? Please round your answer up to the next whole number. 7 H days d) Assuming the spill was circular, write a formula the area, A, of the oil spill as a function of t. Hint: recall that the area of a circle is given by ar?. A(t) = pi(8t)^2 e) How many full days after the initial spill would take to guarantee the area of the spill was 5000 square miles? Please round your answer up to the next whole number. 出 days

the site of the well. Approximately how long did it for oil to wash up on the shores of Venice? Please round your answer up to the next whole number. 7 H days d) Assuming the spill was circular, write a formula the area, A, of the oil spill as a function of t. Hint: recall that the area of a circle is given by ar?. A(t) = pi(8t)^2 e) How many full days after the initial spill would take to guarantee the area of the spill was 5000 square miles? Please round your answer up to the next whole number. 出 days

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

I only need part E, thank you

### The Deepwater Horizon Oil Spill Exercise

The Deepwater Horizon oil spill began on April 20, 2010, and the well was not declared sealed until September of 2010. Suppose that the spill was relatively circular in shape, and that the radius of the spill increased at a rate of approximately 8 miles per day.

#### Tasks:

**a) Fill in the table below showing the radius in miles, $ r $, of the oil spill $ t $ days after April 20.**

| $ t $ (days) | 0 | 2 | 4 | 6 |
|----------------|---|---|---|---|
| $ r(t) $ | 0 | 16 | 32 | 48 |

**b) Write a formula for $ r $ as a function of $ t $.**

\[ r(t) = 8t \]

**c) Venice, Louisiana is approximately 50 miles from the site of the well. Approximately how long did it take for oil to wash up on the shores of Venice? Please round your answer up to the next whole number.**

7 days

**d) Assuming the spill was circular, write a formula for the area, $ A $, of the oil spill as a function of $ t $. Hint: recall that the area of a circle is given by $ \pi r^2 $.**

\[ A(t) = \pi (8t)^2 \]

**e) How many full days after the initial spill would it take to guarantee the area of the spill was 5000 square miles? Please round your answer up to the next whole number.**

7 days

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