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.

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

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.

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

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.

that was incorrect

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.

are you sure this is the right answer?

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.