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An example of a function that models the number of barrels of crude oil and petroleum supplied per day is y = -0.025x^2 + 0.14x + 19.595. Remember that y is measured in millions of barrels per day.
The answer may vary.
| Month (2008) | Products Supplied (millions of barrels/day) |
|---|---|
| January | 19.71 |
| March | 19.79 |
| October | 18.495 |
Let's begin by remembering the model that fits the data for the number of barrels of crude oil and petroleum supplied per day. Depending on the model you used, your answers may vary.
y = -0.025x^2 + 0.14x + 19.595
In the function above, y is measured in millions of barrels per day and x represents the month of the year 2008. Let's make a table where we associate the month of the year with its value of x.
| Month | x-Value |
|---|---|
| January | 1 |
| March | 3 |
| October | 10 |
To estimate the number of barrels supplied per day for the months January, March, and October, we must substitute x=1, x=3, and x=10, respectively.
x= 1
Calculate power and product
Add and subtract terms
In January of 2008 the number of barrels supplied per day was 19.71 millions. Next, we do the same for the second value.
x= 3
Calculate power and product
Add and subtract terms
The number of barrels of crude oil and petroleum supplied per day in March of 2008 was 19.79 millions. Finally, we substitute the last value of x.
x= 10
Calculate power and product
Add and subtract terms
Consequently, the number of barrels of crude oil and petroleum supplied per day in October of 2008 was 18.495 millions.