Question

Look at the table.

Cars Sold
Annual Bonus
120
$1,800
130
$1,950
150
$2,250
175
$2,625

What is the annual bonus for a salesperson who sells 55 cars?
$150
$825
$1,500
$8,250

Answer 1

To determine the annual bonus for a salesperson who sells 55 cars, we can look for a pattern in the data given for cars sold and the corresponding bonuses.

From the provided data:

- 120 cars sold corresponds to an $1,800 bonus.
- 130 cars sold corresponds to an $1,950 bonus.
- 150 cars sold corresponds to a $2,250 bonus.
- 175 cars sold corresponds to a $2,625 bonus.

To find the bonus amount per car sold, let’s calculate the bonus between the available tiers:

1. From 120 to 130 cars sold (10 additional cars):
- Bonus increases from $1,800 to $1,950.
- Increase in bonus = $1,950 - $1,800 = $150.
- Therefore, the bonus per car in this range = $150 / 10 = $15 per car.

2. From 130 to 150 cars sold (20 additional cars):
- Bonus increases from $1,950 to $2,250.
- Increase in bonus = $2,250 - $1,950 = $300.
- Bonus per car = $300 / 20 = $15 per car.

3. From 150 to 175 cars sold (25 additional cars):
- Bonus increases from $2,250 to $2,625.
- Increase in bonus = $2,625 - $2,250 = $375.
- Bonus per car = $375 / 25 = $15 per car.

We can see that the bonus per car sold is consistently $15.

Now, for 55 cars sold:
- Since 55 is below the first threshold (120 cars), we can extrapolate using the pattern.
- Using the bonus for 120 cars, we can find the bonus for selling 55 cars proportionally.

Bonus for 120 cars = $1,800.

Bonus per car = $1,800 / 120 cars = $15 per car.

For 55 cars sold:
- Bonus = 55 cars * $15 per car = $825.

Thus, the annual bonus for a salesperson who sells 55 cars is **$825.**