Question

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

Answer 1

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