Question

A company's profit in 2005 was $12.5 million, but their profits havedecreased by about 0.15 million per years since. Let P be the profit inmillions of dollars t years since 2005, then the function to model thisprofits is: P(t) = -0.15t + 12.5==-What was the estimated profit of the company in the year 2012?O $10.7 millionO $12.395 millionO $13.55 millionO $11.45 million

Answer 1

Step-by-step explanation

We are told that the function that models the profit made in millions per year is:

`P(t)=-0.15t+12.5`

Where

t is the number of years since 2005

So if we are to estimate the profit made in the year 2012

We will first have to get the value of t

`\begin{gathered} t=2012-2005=7 \\ t=7 \end{gathered}`

Therefore, we will put t=7

So that

`P(7)=-0.15(7)+12.5=11.45`

Therefore, the estimated profit will be $11.45 million