Suppose that the worlds current oil reserves is R1900 billio

Suppose that the world\'s current oil reserves is R=1900 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.

B.) 15 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.)

Solution

A)
R = 1900 - 18*T

B)
R = 1900 - 18*T
put T=15
R = 1900 - 18*T
= 1900-18*15
= 1630 billions of barrels

C)
R = 1900 - 18*T
put R = 0
0 = 1900 - 18*T
T = 105.56 years from now