Four cars P, Q, R, and S earn points based on the formula:

$$ ext{Points} = 50 imes ext{(number of laps completed)} - 20 imes ext{(number of laps missed)}$$

Given:
- Car P: 5 laps completed, 3 laps missed
- Car Q: 7 laps completed, 5 laps missed
- Car R: 6 laps completed, 4 laps missed
- Car S: 8 laps completed, 6 laps missed

Which car earned the maximum points at the end of the race?

Question

Four cars P, Q, R, and S earn points based on the formula:

$$	ext{Points} = 50 	imes 	ext{(number of laps completed)} - 20 	imes 	ext{(number of laps missed)}$$

Given:
- Car P: 5 laps completed, 3 laps missed
- Car Q: 7 laps completed, 5 laps missed
- Car R: 6 laps completed, 4 laps missed
- Car S: 8 laps completed, 6 laps missed

Which car earned the maximum points at the end of the race?

Accepted Answer

**Solution:**

1. Calculate points for each car using the formula:
   $$	ext{Points} = 50 	imes 	ext{laps completed} - 20 	imes 	ext{laps missed}$$

2. For car P:
   $$50 	imes 5 - 20 	imes 3 = 250 - 60 = 190$$

3. For car Q:
   $$50 	imes 7 - 20 	imes 5 = 350 - 100 = 250$$

4. For car R:
   $$50 	imes 6 - 20 	imes 4 = 300 - 80 = 220$$

5. For car S:
   $$50 	imes 8 - 20 	imes 6 = 400 - 120 = 280$$

6. Comparing the points:
   - P: 190
   - Q: 250
   - R: 220
   - S: 280

7. Car S has the maximum points.

**Answer:** car S

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