Question

which car got the least rating?
2 points
mr. chua wants to buy a new car. he has the following criteria to help him decide what brand to buy.

• external look 10%
• vehicle dependability 40%
• fuel economy 20%
• ultimate comfort 30%

the table shows the ratings he gave to the different brands of cars.

brands	external look	vehicle dependability	fuel economy	ultimate comfort
syondae	6	10	8	4
khadillak	4	7	3	9
horhd	7	6	9	3

options:

• syondae
• khadillak
• foyota
• horhd

Explanation:

Step1: Calculate weighted rating for Foyota

External Look: \(5\times0.1 = 0.5\)
Vehicle Dependability: \(9\times0.4 = 3.6\)
Fuel Economy: \(7\times0.2 = 1.4\)
Ultimate Comfort: \(6\times0.3 = 1.8\)
Total: \(0.5 + 3.6 + 1.4 + 1.8 = 7.3\)

Step2: Calculate weighted rating for Syondae

External Look: \(6\times0.1 = 0.6\)
Vehicle Dependability: \(10\times0.4 = 4\)
Fuel Economy: \(8\times0.2 = 1.6\)
Ultimate Comfort: \(4\times0.3 = 1.2\)
Total: \(0.6 + 4 + 1.6 + 1.2 = 7.4\)

Step3: Calculate weighted rating for Khadillak

External Look: \(4\times0.1 = 0.4\)
Vehicle Dependability: \(7\times0.4 = 2.8\)
Fuel Economy: \(3\times0.2 = 0.6\)
Ultimate Comfort: \(9\times0.3 = 2.7\)
Total: \(0.4 + 2.8 + 0.6 + 2.7 = 6.5\) Wait, no, recalculate: \(0.4+2.8=3.2; 3.2 + 0.6 = 3.8; 3.8 + 2.7 = 6.5\)? Wait, no, let's do again. Wait, 40.1=0.4, 70.4=2.8, 30.2=0.6, 90.3=2.7. Sum: 0.4+2.8=3.2; 3.2+0.6=3.8; 3.8+2.7=6.5? Wait, no, maybe I made a mistake. Wait, no, let's check Horhd.

Step4: Calculate weighted rating for Horhd

External Look: \(7\times0.1 = 0.7\)
Vehicle Dependability: \(6\times0.4 = 2.4\)
Fuel Economy: \(9\times0.2 = 1.8\)
Ultimate Comfort: \(3\times0.3 = 0.9\)
Total: \(0.7 + 2.4 + 1.8 + 0.9 = 5.8\)

Wait, wait, earlier Khadillak: 40.1=0.4, 70.4=2.8, 30.2=0.6, 90.3=2.7. Sum: 0.4+2.8=3.2; 3.2+0.6=3.8; 3.8+2.7=6.5. Horhd: 0.7+2.4=3.1; 3.1+1.8=4.9; 4.9+0.9=5.8. Oh, so Horhd has 5.8, which is less than Foyota (7.3), Syondae (7.4), Khadillak (6.5). Wait, I think I miscalculated Khadillak. Wait, 40.1=0.4, 70.4=2.8, 30.2=0.6, 90.3=2.7. 0.4+2.8=3.2, 3.2+0.6=3.8, 3.8+2.7=6.5. Horhd: 70.1=0.7, 60.4=2.4, 90.2=1.8, 30.3=0.9. 0.7+2.4=3.1, 3.1+1.8=4.9, 4.9+0.9=5.8. So Horhd has the lowest. Wait, but let's recheck all:

Foyota: 50.1=0.5, 90.4=3.6, 70.2=1.4, 60.3=1.8. Sum: 0.5+3.6=4.1; 4.1+1.4=5.5; 5.5+1.8=7.3. Correct.

Syondae: 60.1=0.6, 100.4=4, 80.2=1.6, 40.3=1.2. Sum: 0.6+4=4.6; 4.6+1.6=6.2; 6.2+1.2=7.4. Correct.

Khadillak: 40.1=0.4, 70.4=2.8, 30.2=0.6, 90.3=2.7. Sum: 0.4+2.8=3.2; 3.2+0.6=3.8; 3.8+2.7=6.5. Correct.

Horhd: 70.1=0.7, 60.4=2.4, 90.2=1.8, 30.3=0.9. Sum: 0.7+2.4=3.1; 3.1+1.8=4.9; 4.9+0.9=5.8. So Horhd has 5.8, which is the lowest.

Answer:

Horhd