In this question, the profit of the restaurant after t months is given by a polynomial function. To find when it begins to show a profit, we find the numerical values of the function for t, and it shows a profit when
Profit after t months:
0 months:
This is P(0). So
1 month:
This is P(1). So
2 months:
This is P(2). So
3 months:
This is P(3). So
4 months:
This is P(4). So
5 months:
This is P(5). So
6 months:
This is P(6). So
7 months:
This is `P(7). So
After 7 months it shows profit, so it starts showing profit on the 6th month, and thus, the correct answer is given by option D.
For another example of a function involving numeric value, you can check brainly.com/question/24231879