A large pharmaceutical company uses the function f(x)=1.556x - 3133 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 2025.
The company will spend $ __ billion on research and development in 2025. (Round to three decimal places.)
To predict the amount of money the company will spend on research and development in 2025, we need to substitute x = 2025 into the function f(x) = 1.556x - 3133.
f(2025) = 1.556(2025) - 3133
f(2025) = 3149.68 - 3133
f(2025) = 16.68
Therefore, the company will spend $16.68 billion on research and development in 2025.
this was incorrect
Apologies for the incorrect response. Let's redo the calculation correctly:
To predict the amount of money the company will spend on research and development in 2025, we substitute x = 2025 into the function f(x) = 1.556x - 3133.
f(2025) = 1.556(2025) - 3133
f(2025) = 3150.78 - 3133
f(2025) ≈ 17.780
Therefore, the company will spend approximately $17.780 billion on research and development in 2025.
To predict the amount of money the company will spend on research and development in 2025, we need to substitute the value of x = 2025 into the given function f(x) = 1.556x - 3133.
Substituting x = 2025 into the function, we get:
f(2025) = 1.556(2025) - 3133
Now, we can solve this equation to find the predicted amount of money the company will spend in 2025.
f(2025) = 1.556(2025) - 3133
= 3153.9 - 3133
= 20.9
Therefore, the company will spend $20.9 billion on research and development in 2025.