A large pharmaceutical company uses the function f(x) = 1.585x-3031 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 2013.
To predict the amount of money the pharmaceutical company will spend in 2013, we need to substitute x = 2013 into the given function.
f(2013) = 1.585(2013) - 3031
Simplifying:
f(2013) = 3172.005 - 3031
f(2013) = 141.005
Therefore, the pharmaceutical company is predicted to spend approximately $141.005 billion in 2013.
wrong its 159.605
Apologies for the mistake. Let's calculate it again.
Using the function, f(x) = 1.585x - 3031, we can substitute x = 2013 to find the predicted amount of money the pharmaceutical company will spend in that year.
f(2013) = 1.585(2013) - 3031
f(2013) = 3183.105 - 3031
f(2013) = 152.105
Therefore, the pharmaceutical company is predicted to spend approximately $152.105 billion in 2013.
To predict the amount of money the pharmaceutical company will spend in 2013, we need to substitute the value of x as 2013 in the given function f(x) = 1.585x - 3031 and solve for f(2013).
f(x) = 1.585x - 3031
Substituting x = 2013:
f(2013) = 1.585(2013) - 3031
Calculating f(2013):
f(2013) = 3185.505 - 3031
f(2013) = 154.505
Therefore, the predicted amount of money the pharmaceutical company will spend in 2013 is approximately $154.505 billion.