SOLUTION: Suppose that the world's current oil reserves is 2020 billion barrels. If, on average, the total reserves is decreasing by 20 billion barrels of oil each year, answer the following

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Suppose that the world's current oil reserves is 2020 billion barrels. If, on average, the total reserves is decreasing by 20 billion barrels of oil each year, answer the following      Log On


   

Question 1150074: Suppose that the world's current oil reserves is 2020 billion barrels. If, on average, the total reserves is decreasing by 20 billion barrels of oil each year, answer the following, give a linear equation for the total remaining oil reserves(in billions of barrels), R(t), as a function of t, the number of years since now.

6 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 two decimal places as needed.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+R%28t%29+=+-20t+%2B+2020+
( +t+ = yrs from now, +R%28t%29+
in billions of barrels )
----------------------------
(a)
+R%286%29+=+-20%2A6+%2B+2020+
+R%286%29+=+-120+%2B+2020+
+R%286%29+=+1900+ billion barrels
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(b)
+R%28t%29+=+0+
+0+=+-20t+%2B+2020+
+20t++=+2020+
+t+=+101+ yrs