Question
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Find ench percent change. Round to the nearest percent. State if it is an increase or decrease \( \begin{array}{ll}\text { (1) From } 147 \text { grams to } 116 \text { grams } & \text { (2) From } 137 \text { miles to I mile }\end{array} \)

Ask by Burns Murphy. in the United States
Mar 12,2025

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Answer

The percent changes are: 1. 21% decrease 2. 99% decrease

Solution

To find the percent change, we can use the formula: \[ \text{Percent Change} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100\% \] Let's calculate the percent change for each scenario: (1) From 147 grams to 116 grams: \[ \text{Percent Change} = \left( \frac{116 - 147}{147} \right) \times 100\% \] \[ \text{Percent Change} = \left( \frac{-31}{147} \right) \times 100\% \] \[ \text{Percent Change} = -21.13\% \] This is a decrease of 21.13%. (2) From 137 miles to 1 mile: \[ \text{Percent Change} = \left( \frac{1 - 137}{137} \right) \times 100\% \] \[ \text{Percent Change} = \left( \frac{-136}{137} \right) \times 100\% \] \[ \text{Percent Change} = -98.55\% \] This is a decrease of 98.55%. Therefore, the percent changes are: - (1) 21.13% decrease - (2) 98.55% decrease

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To find the percent change, you can use the formula: \[ \text{Percent Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100 \] For (1) From 147 grams to 116 grams: \[ \text{Percent Change} = \frac{116 - 147}{147} \times 100 = \frac{-31}{147} \times 100 \approx -21\% \] This indicates a decrease of about 21%. For (2) From 137 miles to 1 mile: \[ \text{Percent Change} = \frac{1 - 137}{137} \times 100 = \frac{-136}{137} \times 100 \approx -99\% \] This indicates a dramatic decrease of about 99%.

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