how do i solve it?

Question

Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation S ( x ) = 1.7 x + 5 represents the amount of sales of statin in billions of dollars x years after 2005. According to this equation, people in the U.S. spent $ on statins in the year 2008. According to this equation, sales of statin will reach 24.01 billion dollars in the year . Submit Question Question 11

Answer 1

Let's plug in a few numbers into the equation they give us to see what it means, and then what the quesiton is asking us to solve for.

s(x)= 1.7x+ 5

If x =1, that's 1 year, since x = time in years

s(1) = 1.7 (1) + 5= 6.7

so after 1 year, sales reach 6.7 billion dollars

Another example where within two years the sales are...

s(2) = 1.7(2) +5 = 8.4 billion dollars

So the question is asking, what time (x) will we get $24.01 billion in sales?

when does 1.7x + 5 = 24.01 ???

Solve for the time, x to see when the equation equals the desired total income.

1.7x +5 =24.01

-5 -5

1.7x = 19.01

Divide both sides by 1.7

x= 11.18 years

and 11.18 years after 2008 is the year 2019.18