A large pharmaceutical company uses the function f(x) = 1.806x - 3004 to model the amount of money, in billions of dollars, it spends each year on research and development, where x corresponds to the year. Use the function to predict the amount of money it will spend in 2011.
The company will spend $ __ billion on research and development in 2011. (Round to three decimal places.)
To predict the amount of money the company will spend in 2011, we need to substitute x=2011 into the function f(x) = 1.806x - 3004:
f(2011) = 1.806(2011) - 3004
f(2011) = 3636.066 - 3004
f(2011) = 631.066
The company will spend $631.066 billion on research and development in 2011.
that was the wrong answer
I apologize for the mistake. Let me correct it.
To predict the amount of money the company will spend in 2011, we need to substitute x = 2011 into the function f(x) = 1.806x - 3004:
f(2011) = 1.806(2011) - 3004
f(2011) ≈ 3636.066 - 3004
f(2011) ≈ 632.066
The company will spend approximately $632.066 billion on research and development in 2011.
bruh that's still the wrong answer
Apologies for the repeated error. Let's recalculate the correct amount.
To predict the amount of money the company will spend in 2011, we need to substitute x = 2011 into the function f(x) = 1.806x - 3004:
f(2011) = 1.806(2011) - 3004
f(2011) ≈ 3636.066 - 3004
f(2011) ≈ 632.066
The company will spend approximately $632.066 billion on research and development in 2011.
the answer was 627.866
Apologies for the mistake in my previous responses. Let's calculate the correct answer:
f(2011) = 1.806(2011) - 3004
f(2011) = 3635.866 - 3004
f(2011) = 631.866
Therefore, the company will spend approximately $631.866 billion on research and development in 2011.