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
Answer:
2x + 3y = 6
Step-by-step explanation:
obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y-intercept )
here m = -
and c = 2
y = -
x + 2 ← in slope-intercept form
multiply all terms by 3 to eliminate the fraction
3y = - 2x + 6 ( add 2x to both sides )
2x + 3y = 6 ← in standard form
8x - 9x²y + 7y² - 2x⁴
-2x⁴ - 9x²y + 8x + 7y²
Answer:
The cost of the mug is of $6.50.
Step-by-step explanation:
The cost of the mug and r refills is given by the following equation:

Cost of the mug:
The cost of the mug is found when no refills are bought, that is, C when
, which is 

The cost of the mug is of $6.50.