Question

Suppose that the world's current oil reserves is R= 2180 billion barrels. If, on average, the total reserves is decreasing by 18 billion barrels of oil each year, answer the following:

A.) Give a linear equation for the total remaining oil reserves, R, in terms of t, the number of years since now. (Be sure to use the correct variable and Preview before you submit.) R= Preview

B.) 10 years from now, the total oil reserves will be billions of barrels.

C.) If no other oil is deposited into the reserves, the world's oil reserves will be completely depleted (all used up) approximately years from now. (Round your answer to two decimal places.)

Answer 1

The final answer of this question is 121.11

Explanation:

• The estimated oil reserve amounts to 2180 billion barrels of oil.
• When an average total reserve falls by 18 billion barrels of oil per year,
• The reserve will be 2180-18= 2162 billion barrels in 1 year.
• The balance will be 2180-18-18= 2144 billion barrels after 2 years.

So every year it decreases, if t is lot of years from now then after t years it will be 2180-18 t

a) R = 2180 - 18 t

b) For 10 years from now , put t=10

R = 2180 - 18 (10) = 2000

R= 2000

c) If reserve is completely depleted, R=0

0 = 2180 - 18 t

18 t = 2180

t = \frac{2180}{18}

t = 121.11