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Answer:
Having a percentage reduction of 85%, 1% greater than 4WD's, the Hutch has the greatest percentage reduction.
Step-by-step explanation:
The formula states how to find the percentage reduction based on the original and new values.
[tex]\dfrac{\text{original value - new value }}{\text{original value}} \times 100 = \% ~\text{reduction}[/tex]
We have to use the formula twice and choose the car with a greater percentage decrease.
Hatch:
[tex]\dfrac{20000-3000}{20000} \times 100 = \% ~\text{reduction}[/tex]
[tex]0.85\times 100 = 85\%[/tex]
4WD:
[tex]\dfrac{80000-12800}{80000} \times 100 = \% ~\text{reduction}[/tex]
[tex]0.84 \times 100 = 84\%[/tex]
So the Hatch has a greater percentage reduction.
[tex]\dotfill[/tex]
The price for a Hatch went from 20000 to 3000, where 3000 is (3000/20000) 0.15 or 15% of the Hatch's original value. This means that the remaining 85, the Hatch's remaining value (17000) in percent form, must be the reduced rate.
Similarly, the 4WD's reduced price of 12800 is 0.16 or 16% of its original value, thus the remaining 84 is the reduced percentage.
From their reduced rates, the Hutch has a greater decrease and is our final answer.