Oil is leaking from a damaged shipping vessel stranded at sea.
The captain estimates that the costs, C, in millions of dollars, to clean a t ton oil spill can be modeled by the function C(t)=1.5t+2,
The amount of oil, S, in tons, that has been spilled in d days is given by the function S(d)=355d.
Find an explicit expression that models the costs of cleaning up a d day oil spill.

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ycp191 ycp191 · Answer 1 · 2019-06-03T18:09:54+02:00

Answer:

Area=

https://tex.z-dn.net/?f=45%5Cpi+in%5E2

final answer A=\pi (3\sqrt{5})^2

A=45\pi \ in^2

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lidaralbany lidaralbany · Answer 2 · 2019-07-01T09:23:14+02:00

The explicit formula that will be used to find the cost of cleaning up d day oil spill is:

[tex]CoS(d)=532.5d+2[/tex]

The amount of oil, S, in tons, that has been spilled in d days is given by the function:

S(d)=355d.

The cost to clean a t ton oil spill can be modeled by the function:

C(t)=1.5t+2

This means that the cost to clean in d days is given by the composition function:

[tex]CoS(d)=C(S(d))\\\\\\i.e.\\\\\\CoS(d)=C(355d)\\\\\\i.e.\\\\\\CoS(d)=1.5(355d)+2\\\\\\i.e.\\\\\\CoS(d)=532.5d+2[/tex]