Pregunta
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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The percent changes are:
1. 21% decrease
2. 99% decrease
Solución
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
Respondido por UpStudy AI y revisado por un tutor profesional
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Extra Insights
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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