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Sales Application Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation: S = 1.7 x + 5.2 estimates the amount of sales, S , of statin (in billions of dollars) x years after January 1, 1998. Sales of statin on January 1, 2008 was billion dollars. Statin sales reached 25.6 billion dollars in the year .

Sagot :

Sales of Statin on January 1, 2008 was 22.2 billion dollars; and the year that the Statin sales reached 25.6 billion dollars was in 2010.

How do we calculate sales and the year it occurred?

Given:

S = 1.7 x + 5.2 .............................. (1)

Sales of statin on January 1, 2008 can be calculated as follows:

x = 2008 - 1998 = 10

Substituting x = 10 into equation (1), we have:

S = (1.7 * 10) + 5.2

S = 17 + 5.2

S = 22.2

The answer above implies that sales of Statin on January 1, 2008 was 22.2 billion dollars.

The year that the Statin sales reached 25.6 billion dollars can be calculated as follows:

S = 25.6

Substituting S = 25.6 into equation (1) and solving for x, we have:

25.6 = 1.7x + 5.2

25.6 - 5.2 = 1.7x

20.4  = 1.7x

x = 20.4 / 1.7

x = 12

Therefore, we have:

The year Statin sales reached 25.6 billion = 1998 + x = 1998 + 12 = 2010

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The sales of Statin on January 1, 2008 is 22.2 billion dollars and the year statin sales reached 25.6 billion was in 2010

Linear functions

Linear functions are equations that has a leading degree of 1.

Given the expression that represents amount of sales, S , of statin (in billions of dollars) x years after January 1, 1998 as;

S = 1.7 x + 5.2

For the sales of statin on January 1, 2008, this is calculated as

x = 2008 - 1998 = 10years

Substitute x = 10 into the given equation to have;

S = 1.7(10) + 5.2

S = 17 + 5.2

S = 22.2

Therefore the sales of Statin on January 1, 2008 is 22.2 billion dollars.

For the year that the Statin sales reached 25.6 billion dollar;

S(x) = 25.6

Substituting S = 25.6 into the equation

25.6 = 1.7x + 5.2

1.7x = 25.6 - 5.2

1.7x = 20.4

x = 12

Hence the year statin sales reached 25.6 billion was in 2010

Learn more about linear function here: https://brainly.com/question/4025726

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