Question

statins are used to keep cholesterol in check and are a top - selling drug in the u.s. the equation ( s = 1.7x+5.1 ) estimates the amount of sales, ( s ), of statin (in billions of dollars) ( x ) years after january 1, 1998.
use the equation above to complete the following statements.
a) sales of statin on january 1, 2010 was billion dollars.
b) statin sales reached 28.9 billion dollars in the year.

Explanation:

Step1: Calculate \(x\) for part (a)

The year is 2010. Since \(x\) is the number of years after 1998, \(x = 2010 - 1998=12\).
Substitute \(x = 12\) into the equation \(S = 1.7x+5.1\).

$$S=1.7\times12 + 5.1$$

$$S = 20.4+5.1$$

$$S=25.5$$

Step2: Solve for \(x\) in part (b)

We are given \(S = 28.9\). Substitute into the equation \(S=1.7x + 5.1\).

$$28.9=1.7x+5.1$$

Subtract \(5.1\) from both sides:

$$28.9 - 5.1=1.7x$$

$$23.8 = 1.7x$$

Divide both sides by \(1.7\):

$$x=\frac{23.8}{1.7}=14$$

The year is \(1998 + 14=2012\)

Answer:

a) \(25.5\)
b) \(2012\)