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Oil and gas production in a certain area dropped from 4 million barrels in 2000 to 1.9 million barrels in 2013. Assuming that the oil and gas production decreased at a constant rate, which of the following linear functions f best models the production, in millions of barrels, t years after the year 2000?

A. f(t) = 21/130t + 4

B. f(t) = 19/130t + 4

C. f(t) = -21/130t + 4

D. f(t) = -19/130t + 4

Respuesta :

The answer to this question is C.
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Answer:

C.

Step-by-step explanation:

f(t) = −

21

130

t + 4

The slope-intercept form of a line is y = mx +b. Use the points (0, 4) and (13, 1.9): m =

1.9 − 4

13 − 0 = −

21

130

and b = 4, since the y intercept is 4.

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