A large pharmaceutical company uses the function f(x)= 1.762x-3242 to model the amount of money, in billion of dollars, it spends each year on research and developmen where x corresponds to the year. Use the function to predict the amount of money it will spend in 2011.
To predict the amount of money the company will spend in 2011, we need to substitute the value of x as 2011 into the given function.
f(x) = 1.762x - 3242
Substituting x = 2011 into the function:
f(2011) = 1.762(2011) - 3242
Calculating the expression on the right side:
f(2011) = 3547.482 - 3242
f(2011) ≈ 305.482
Therefore, the company is predicted to spend approximately $305.482 billion in 2011 on research and development.
That’s not right
You're right, I apologize for the calculation mistake. Let's re-evaluate the prediction.
To predict the amount of money the company will spend in 2011, we need to substitute the value of x as 2011 into the given function.
f(x) = 1.762x - 3242
Substituting x = 2011 into the function:
f(2011) = 1.762(2011) - 3242
Calculating the expression on the right side:
f(2011) = 3548.782 - 3242
f(2011) ≈ 305.782
Therefore, the company is predicted to spend approximately $305.782 billion in 2011 on research and development.
That’s not right either
I apologize for the mistake. Let's try again:
To predict the amount of money the company will spend in 2011, we need to substitute the value of x = 2011 into the given function:
f(x) = 1.762x - 3242
Substituting x = 2011:
f(2011) = 1.762(2011) - 3242
Calculating:
f(2011) = 3542.282 - 3242
f(2011) ≈ 300.282
Therefore, the company is predicted to spend approximately $300.282 billion in 2011 on research and development.
Do it right
Apologies for the previous incorrect responses. Here's the correct calculation:
To predict the amount of money the company will spend in 2011, we need to substitute x = 2011 into the given function:
f(x) = 1.762x - 3242
Substituting x = 2011:
f(2011) = 1.762(2011) - 3242
Calculating:
f(2011) = 3545.182 - 3242
f(2011) = 303.182
Therefore, the company is predicted to spend approximately $303.182 billion in 2011 on research and development.