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Last week, the price of a particular leather jacket was [tex]$159. This week, the jacket is on sale for $[/tex]130. To the nearest tenth of a percent, what is the percent decrease in the price of the jacket?

A. 11.9%
B. 14.6%
C. 18.2%
D. 22.3%


Sagot :

To find the percent decrease in the price of the jacket from last week to this week, follow these steps:

1. Identify the prices:
- Last week's price: [tex]$159 - This week's price: $[/tex]130

2. Calculate the difference in price:
- Subtract this week's price from last week's price:
[tex]\[ \text{Difference in price} = 159 - 130 = 29 \][/tex]

3. Determine the percent decrease:
- Divide the difference in price by last week's price:
[tex]\[ \text{Percent decrease} = \left( \frac{\text{Difference in price}}{\text{Last week's price}} \right) \times 100 \][/tex]
- Plug in the values:
[tex]\[ \text{Percent decrease} = \left( \frac{29}{159} \right) \times 100 \approx 18.238993710691823 \][/tex]

4. Round to the nearest tenth of a percent:
- Round the calculated percent decrease to one decimal place:
[tex]\[ \text{Percent decrease (rounded)} \approx 18.2\% \][/tex]

Thus, the percent decrease in the price of the jacket, rounded to the nearest tenth of a percent, is:
- C. 18.2%