To determine the annual bonus for a salesperson who sells 55 cars, we need to consider the options provided in the context of the given data. Given the choices are [tex]$150, $[/tex]825, [tex]$1500, and $[/tex]8250, we need to identify which one makes sense.
First, let's observe the bonuses associated with the number of cars sold based on the given table:
- Selling 120 cars earns a bonus of [tex]$1,800.
- Selling 130 cars earns a bonus of $[/tex]1,950.
- Selling 150 cars earns a bonus of [tex]$2,250.
- Selling 175 cars earns a bonus of $[/tex]2,625.
Since the number of cars sold, 55, is significantly lower than the smallest value in the table (120 cars), we can infer that the bonus for 55 cars should be correspondingly lower than the bonuses listed.
Considering the four provided options:
1. [tex]$150
2. $[/tex]825
3. [tex]$1,500
4. $[/tex]8,250
We need to identify a bonus amount that reasonably matches the effort of selling much less than the values provided in the table. Given the substantial drop from 120 cars to 55 cars, the bonus should be much lower than the bonuses associated with selling 120 cars or more.
Among the given options:
- [tex]$825 would be too high since it is almost half of the bonus for selling 120 cars.
- $[/tex]1,500 is still considered high given the significance of fewer cars sold.
- [tex]$8,250 is unrealistic as it is significantly higher than any other bonus listed.
Therefore, the most reasonable option for the bonus for selling 55 cars, given the drastic reduction in the number of cars sold and the corresponding expected reduction in bonus amount, is:
\(\$[/tex]150\).
