The total world consumption of oil increased from 82.7 million barrels per day in 2004 to 84.2 million barrels per day in 2009.

Question

Create a linear model involving a relation between the year and the daily oil consumption in that year. Let t=0 represent the year 2004

Answer 1

Convert the information into points we can use to find the line.

 

(0, 82.7) and (5, 84.2)

 

where:

t = number of years since 2004
y = million barrels per day

 

Then use the point-slope form of a line                       y - y₁ = m(t - t₁)

 

to get your equation.

 

where:

m is the slope between the points

(t₁ , y₁) is any of the given points