Question

Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation:S−1.3x=6.1 gives the amount of sales ( S ) of statin in billions of dollars x years after 1998. According to this equation, how much will/did people in the U.S. spend on statins in the year 2005?Answer: People in the U.S. will spend billion dollars on statins in 2005.

Answer 1

`S\text{ = \$15.2 billions}`

Step-by-step explanation

Given information

`S\text{ - 1.3x = 6.1}`

Where

S is the amount of sales of statin in billions of dollars

x is the number of years

Step 1: Calculate the number of years

`\begin{gathered} Recall,\text{ that the sales was from 1998 to 2005} \\ x\text{ = 2005 - 1998} \\ x\text{ = 7 years} \end{gathered}`

Step 2: Find the amount of sales in billions of dollars using the given modeled equation

`\begin{gathered} S\text{ - 1.3x = 6.1} \\ S\text{ - 1.3\lparen7\rparen = 6.1} \\ S\text{ -9.1 = 6.1} \\ Add\text{ 9.1 to both sides of the equation} \\ S\text{ - 9.1 + 9.1 = 6.1 + 9.1} \\ S\text{ = \$15.2 billions} \end{gathered}`