can you solve this correctly Later that day, Kevin interviews the manager of the

Question

can you solve this correctly

Later that day, Kevin interviews the manager of the city's oil storage facility. The city currently has 200,000 barrels in oil reserves, and the manager believes it will run out of reserves in 8 months. A chart is shown below. barrels 300000 --T--r 250000 J 200000 150000 100000 50000 months 1 2 3 4 5 6 7 8 9 10 11 12. If the city increases its reserves by 25,000 barrels, and the same rate of consumption is assumed, how many months will it then take until it runs out of reserves?

Explanation / Answer

initially rate of consumption = slope of graph

slope = (200000 - 0)/(0 - 8) = -25000

Now given that rate of consumption is same.

barrels increased = 25000

total barrels = 225000

(y - y1) = (-25000)*(x - x1)

y - 225000 = -25000*x + 25000*0

y = -25000*x + 225000

when reserves end y = 0

y = -25000*x + 225000

25000*x = 225000

x = 9 months

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