4. The rate of change is $10. This means every one ticket sold produces a net profit of $10.00.
Step-by-step explanation:
Step 1:
We need to determine the profit the theater gets for every ticket.
To do that we divide the difference in values of net profit by the difference in the number of tickets sold.
For the first case, they got a net profit of -$500 for selling 150 tickets.
We also have that they had a net profit of $0 after selling 200 tickets.
Step 2:
The profit earned per ticket [tex]=\frac{difference in profits}{difference in tickets sold} .[/tex]
We use the values of the first two rows of the given table.
The profit earned per ticket [tex]=\frac{0-(-500)}{200-150} ,[/tex]
[tex]\frac{0-(-500)}{200-150} = \frac{500}{50} = 10.[/tex]
The rate of change is 10 so a profit of $10 is produced for every ticket sold. This is the fourth option.
