Question

Suppose that the world's current oil reserves is R = 2000 billion barrels. If, on average, the totalreserves is decreasing by 21 billion barrels of oil each year, answer the following:A.) Give a linear equation for the total remaining oil reserves, R(t), in terms oft, the number ofyears since now. (Be sure to use the correct variable and Preview before you submit.)R(t)=B.) 9 years from now, the total oil reserves will bebillions of barrels.Question Help: Video Message instructorSubmit QuestionJump to Answer

Answer 1

Since the world oil reserve is given at an initial of 2000 barrels,

a deplete of 21 barrel per year will give the following function:

R(t) = 2000 - 21t, where t is the number of years taken to deplete.

After 9 years, t=9:

Reserve = 2000 - 21(9)

= 2000 - 189

= 1811 barrels will be lefts.

In summary, the linear function of the oiln reserve is R(t) = 2000 - 21t