If p(t) is the profit (in dollars) that I expect my business to earn t years after opening, use functional notation to express my expected profit after 4 years and 6 months.
Is p(t) the total profit, annual profit or monthly profit?
If it is the total (cumulative) profit after 4 1/2 years, then the answer they are looking for is just
p(4.5)
To express your expected profit after 4 years and 6 months using functional notation, we can use the function p(t) and substitute the value of t.
First, let's convert 6 months to years. Since there are 12 months in a year, 6 months is equivalent to 6/12 = 0.5 years.
Now, we can substitute t = 4 + 0.5 into the function p(t) to get the expected profit after 4 years and 6 months.
Therefore, the expression using functional notation to represent your expected profit after 4 years and 6 months is: p(4.5).