Pearson Algebra 2 Common Core, 2011
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Pearson Algebra 2 Common Core, 2011 View details
8. Polynomial Models in the Real World
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Exercise 23 Page 336

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
Practice makes perfect

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.

y = -0.025x^2 + 0.14x + 19.595
y = -0.025( 1)^2 + 0.14( 1) + 19.595
y = -0.025 + 0.14 + 19.595
y = 19.71

In January of 2008 the number of barrels supplied per day was 19.71 millions. Next, we do the same for the second value.

y = -0.025x^2 + 0.14x + 19.595
y = -0.025( 3)^2 + 0.14( 3) + 19.595
y = -0.225 + 0.42 + 19.595
y = 19.79

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.

y = -0.025x^2 + 0.14x + 19.595
y = -0.025( 10)^2 + 0.14( 10) + 19.595
y = -2.5 + 1.4 + 19.595
y = 18.495

Consequently, the number of barrels of crude oil and petroleum supplied per day in October of 2008 was 18.495 millions.