Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation: S= 1.3x + 4.9 estimates the amount of sales, S, of statin (in billions of dollars) x years after January 1, 1998.

Sales of statin on January 1, 2007 was _______billion dollars.
Statin sales reached 20 billion dollars in the year ________

Respuesta :

Sales of statin on January 1, 2007 was 16.6 billion dollars.

Statin sales reached 20 billion dollars in the year  2009

Explanation :

The equation: S= 1.3x + 4.9 estimates the amount of sales, S, of statin (in billions of dollars) x years after January 1, 1998.

In 1998, the value of x=0

We need to find the sales in 2007.

2007 - 1998= 9 years

x=9 for the year 2007.

Substitute x=9 in the given equation S to find out sales

[tex]S= 1.3x + 4.9\\S= 1.3(9) + 4.9\\S=16.6[/tex]

Sales of statin on January 1, 2007 was 16.6 billion dollars.

Now we find out the year when sales reached 20 billion dollars

S is the amount of sales in billion dollars .

Substitute 20 for S  and solve for x

[tex]S= 1.3x + 4.9\\20=1.3x+4.9\\20-4.9=1.3x\\\\15.1=1.3x\\Divide \; by \; 1.3\\x=11.61538[/tex]

So , 11 years.

To find out the year , we add 11 with 1998

1998+11=2009

Statin sales reached 20 billion dollars in the year 2009

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