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IgorC [24]
3 years ago
12

Find each Of change. Round to the nearest whole percent if necessary. State whether the percent Of change is an increase or 1. O

riginal; 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
Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0

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

Step-by-step 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 = \frac{New - Original}{Original} * 100\%

1.\ Original = 5; New = 1.3

\%Change = \frac{1.3 - 5}{1.3} * 100\%

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

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

\%Change = \frac{-370\%}{5}

\%Change = -74\%

<em>The percentage change is 74% and it is a percentage decrease</em>

2.\ Original = 160; New = 136

\%Change = \frac{136 - 160}{160} * 100\%

\%Change = \frac{-24}{160} * 100\%

\%Change = \frac{-24 * 100\%}{160}

\%Change = \frac{-2400\%}{160}

\%Change = -15\%

<em>The percentage change is 15% and it is a percentage decrease</em>

3.\ Original = 15; New = 12

\%Change = \frac{12- 15}{15} * 100\%

\%Change = \frac{-3}{15} * 100\%

\%Change = \frac{-3* 100\%}{15}

\%Change = \frac{-300\%}{15}

\%Change = -20\%

<em>The percentage change is 20% and it is a percentage decrease</em>

4.\ Original = 7; New = 10

\%Change = \frac{10- 7}{7} * 100\%

\%Change = \frac{3}{7} * 100\%

\%Change = \frac{3* 100\%}{7}

\%Change = \frac{300\%}{7}

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

<em>The percentage change is 43% and it is a percentage increase</em>

<em></em>

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

\%Change = \frac{18- 30}{30} * 100\%

\%Change = \frac{-12}{30} * 100\%

\%Change = \frac{-12* 100\%}{30}

\%Change = \frac{-1200\%}{30}

\%Change = -40\%}

<em>The percentage change is 40% and it is a percentage decrease</em>

6.\ Original = 9.6; New = 5.9

\%Change = \frac{5.9- 9.6}{9.6} * 100\%

\%Change = \frac{-3.7}{9.6} * 100\%

\%Change = \frac{-3.7* 100\%}{9.6}

\%Change = \frac{-370\%}{9.6}

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

<em>The percentage change is 39% and it is a percentage decrease</em>

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