Suppose that the world's current oil reserves in billions of barrels is given by the equation R(t)=-21t+2130 where t represents the number of years since now.8 years from now, the total oil reserves will be billions of barrels.If no other oil is deposited into the reserves, the world's oil reserves will be completely depleted approximately years from now.Round your answer to the nearest year.

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Answer:

a) [tex]R(t)=-21(8) +2130=1962[/tex] billions barrels

b) [tex]t=\frac{-2130}{-21}=101.438[/tex] years

So then the world's oil reserves will be completely depleted after 101.438 years using this model.

Step-by-step explanation:

The linear model that describe the current oil reserves in billions is given by:

[tex]R(t)=-21 t +2130[/tex]

8 years from now, the total oil reserves will be billions of barrels

For this question we just need to replace t=8 into the linear model and we got:

[tex]R(t)=-21(8) +2130=1962[/tex]

And we got 1962 billions of barrels.

If no other oil is deposited into the reserves, the world's oil reserves will be completely depleted approximately years from now.Round your answer to the nearest year.

For this question we want to find the time when the reserves of oil would be 0. That means R(t) =0. So we need to set up the linear model equal to 0 and thn solve for t.

[tex]R(t)=-21 t +2130=0[/tex]

[tex]t=\frac{-2130}{-21}=101.438[/tex] years

So then the world's oil reserves will be completely depleted after 101.438 years using this model.

Answer:

125 years

Step-by-step explanation:

cause i said so

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