A large pharmaceutical company uses the function f(x) = 1.687x - 3412 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 2029.
The company will spend $ [ ] billion on research and development in 2029.
Round to three decimal places.
To predict the amount of money the company will spend in 2029, we substitute x = 2029 into the given function:
f(2029) = 1.687 * 2029 - 3412
f(2029) = 3414.103 - 3412
f(2029) = 2.103
Therefore, the company will spend $2.103 billion on research and development in 2029.
you sure? it says its incorrect
I apologize for the mistake. Let's calculate it correctly.
Using the given function, we have:
f(x) = 1.687x - 3412
To find the amount of money the company will spend in 2029 (x = 2029), we substitute x = 2029 into the function:
f(2029) = 1.687 * 2029 - 3412
f(2029) = 3420.403 - 3412
f(2029) ≈ 8.403
Therefore, the company will spend approximately $8.403 billion on research and development in 2029.
To predict the amount of money the pharmaceutical company will spend on research and development in 2029, we need to substitute the value of x = 2029 into the given function, f(x) = 1.687x - 3412.
Let's calculate it step by step:
Step 1: Substitute x = 2029 into f(x) = 1.687x - 3412
f(2029) = 1.687 * 2029 - 3412
Step 2: Simplify the equation
f(2029) = 3426.403 - 3412
Step 3: Perform the subtraction
f(2029) = 14.403
Therefore, the company is predicted to spend $14.403 billion on research and development in 2029.