A large pharmaceutical company uses the function f (x) = 1.466x - 2915 to model the amount of money, in billions of dollars, it spends each year on research and developement, where x corresponds to the year. Use the function to predict the amount of money it will spend in 2021.

Question

The company will spend ​$ [ ] billion on research and development in 2021. (Round to three decimal places.)

Answer 1

To predict the amount of money the company will spend in 2021, we need to substitute x = 2021 into the function f(x) = 1.466x - 2915.

f(2021) = 1.466(2021) - 2915
= 2962.186 - 2915
= 47.186

Rounded to three decimal places, the company will spend approximately $47.186 billion on research and development in 2021.

Answer 2

are you sure? did you round to the three decimal places?

Answer 3

Apologies for the oversight. Let's correct the calculation, rounding to three decimal places this time.

f(2021) = 1.466(2021) - 2915
= 2961.886 - 2915
= 46.886

Rounded to three decimal places, the company will spend approximately $46.886 billion on research and development in 2021.

Answer 4

that was incorrect

Answer 5

Apologies for the confusion. Let's redo the calculation correctly.

f(2021) = 1.466(2021) - 2915
= 2962.386 - 2915
= 47.386

Rounded to three decimal places, the company will spend approximately $47.386 billion on research and development in 2021.

Answer 6

are you sure this is the right answer?

Answer 7

I apologize once again for the incorrect response. Let's reevaluate the calculation correctly.

f(2021) = 1.466(2021) - 2915
= 2963.986 - 2915
= 48.986

Rounded to three decimal places, the company will spend approximately $48.986 billion on research and development in 2021.