Answered

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Suppose that the world's current oil reserves is

R

=

1900

billion barrels. If, on average, the total reserves is decreasing by

24

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


B.)
9
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.)

Sagot :

Sqdancefanidn

Answer:

  A)  R = 1900 -24t

  B)  1684 billion barrels

  C) 79.17 years

Step-by-step explanation:

A)

Reserves start at 1900 billion barrels and decrease by 24 billion barrels each year. The value for t=0 is 1900; the value for t=1 is 24 less.

  R = 1900 -24t

__

B)

For t=9, the reserves will be ...

  R = 1900 -24(9) = 1900 -216 = 1684 . . . . billion barrels

__

C)

The reserve will be 0 when ...

  0 = 1900 -24t

  24t = 1900 . . . . . add 24t

  t ≈ 79.17 . . . . divide by 24

Reserves will be gone in about 79.17 years.

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