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Find each Of change. Round to the nearest whole percent if necessary. State whether the percent Of change is an increase or 1. Original; 5. Original: Cm • Chqter 2. Original: new: 1.3 6. Original; 160 new: 136 g. Original; 15 new : 12 7. Original: 7, 7 new: 10 , 5 4. Original: $30 new: $18 8. Original: 9.6 new: 5.9 31

User SNag
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Answer:

1. The percentage change is 74% and it is a percentage decrease

2. The percentage change is 15% and it is a percentage decrease

3. The percentage change is 20% and it is a percentage decrease

4. The percentage change is 43% and it is a percentage increase

5. The percentage change is 40% and it is a percentage decrease

6. The percentage change is 39% and it is a percentage decrease

Explanation:

Given


1.\ Original = 5; New = 1.3


2.\ Original = 160; New = 136


3.\ Original = 15; New = 12


4.\ Original = 7; New = 10


5.\ Original = $30; New = $18


6.\ Original = 9.6; New = 5.9

Required

Determine the percentage change and state whether it's an increase or decrease

Percentage change is calculated as:


\%Change = (New - Original)/(Original) * 100\%


1.\ Original = 5; New = 1.3


\%Change = (1.3 - 5)/(1.3) * 100\%


\%Change = \frac{-3.7}5} * 100\%


\%Change = (-3.7 * 100\%)/(5)


\%Change = (-370\%)/(5)


\%Change = -74\%

The percentage change is 74% and it is a percentage decrease


2.\ Original = 160; New = 136


\%Change = (136 - 160)/(160) * 100\%


\%Change = (-24)/(160) * 100\%


\%Change = (-24 * 100\%)/(160)


\%Change = (-2400\%)/(160)


\%Change = -15\%

The percentage change is 15% and it is a percentage decrease


3.\ Original = 15; New = 12


\%Change = (12- 15)/(15) * 100\%


\%Change = (-3)/(15) * 100\%


\%Change = (-3* 100\%)/(15)


\%Change = (-300\%)/(15)


\%Change = -20\%

The percentage change is 20% and it is a percentage decrease


4.\ Original = 7; New = 10


\%Change = (10- 7)/(7) * 100\%


\%Change = (3)/(7) * 100\%


\%Change = (3* 100\%)/(7)


\%Change = (300\%)/(7)


\%Change = 43\% -- (approximated)

The percentage change is 43% and it is a percentage increase


5.\ Original = $30; New = $18


\%Change = (18- 30)/(30) * 100\%


\%Change = (-12)/(30) * 100\%


\%Change = (-12* 100\%)/(30)


\%Change = (-1200\%)/(30)


\%Change = -40\%}

The percentage change is 40% and it is a percentage decrease


6.\ Original = 9.6; New = 5.9


\%Change = (5.9- 9.6)/(9.6) * 100\%


\%Change = (-3.7)/(9.6) * 100\%


\%Change = (-3.7* 100\%)/(9.6)


\%Change = (-370\%)/(9.6)


\%Change = -39\% -- (approximated)

The percentage change is 39% and it is a percentage decrease

User Holiday
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