contestada

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

Respuesta :

MrRoyal

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

[tex]1.\ Original = 5; New = 1.3[/tex]

[tex]2.\ Original = 160; New = 136[/tex]

[tex]3.\ Original = 15; New = 12[/tex]

[tex]4.\ Original = 7; New = 10[/tex]

[tex]5.\ Original = $30; New = $18[/tex]

[tex]6.\ Original = 9.6; New = 5.9[/tex]

Required

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

Percentage change is calculated as:

[tex]\%Change = \frac{New - Original}{Original} * 100\%[/tex]

[tex]1.\ Original = 5; New = 1.3[/tex]

[tex]\%Change = \frac{1.3 - 5}{1.3} * 100\%[/tex]

[tex]\%Change = \frac{-3.7}5} * 100\%[/tex]

[tex]\%Change = \frac{-3.7 * 100\%}{5}[/tex]

[tex]\%Change = \frac{-370\%}{5}[/tex]

[tex]\%Change = -74\%[/tex]

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

[tex]2.\ Original = 160; New = 136[/tex]

[tex]\%Change = \frac{136 - 160}{160} * 100\%[/tex]

[tex]\%Change = \frac{-24}{160} * 100\%[/tex]

[tex]\%Change = \frac{-24 * 100\%}{160}[/tex]

[tex]\%Change = \frac{-2400\%}{160}[/tex]

[tex]\%Change = -15\%[/tex]

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

[tex]3.\ Original = 15; New = 12[/tex]

[tex]\%Change = \frac{12- 15}{15} * 100\%[/tex]

[tex]\%Change = \frac{-3}{15} * 100\%[/tex]

[tex]\%Change = \frac{-3* 100\%}{15}[/tex]

[tex]\%Change = \frac{-300\%}{15}[/tex]

[tex]\%Change = -20\%[/tex]

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

[tex]4.\ Original = 7; New = 10[/tex]

[tex]\%Change = \frac{10- 7}{7} * 100\%[/tex]

[tex]\%Change = \frac{3}{7} * 100\%[/tex]

[tex]\%Change = \frac{3* 100\%}{7}[/tex]

[tex]\%Change = \frac{300\%}{7}[/tex]

[tex]\%Change = 43\%[/tex] -- (approximated)

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

[tex]5.\ Original = $30; New = $18[/tex]

[tex]\%Change = \frac{18- 30}{30} * 100\%[/tex]

[tex]\%Change = \frac{-12}{30} * 100\%[/tex]

[tex]\%Change = \frac{-12* 100\%}{30}[/tex]

[tex]\%Change = \frac{-1200\%}{30}[/tex]

[tex]\%Change = -40\%}[/tex]

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

[tex]6.\ Original = 9.6; New = 5.9[/tex]

[tex]\%Change = \frac{5.9- 9.6}{9.6} * 100\%[/tex]

[tex]\%Change = \frac{-3.7}{9.6} * 100\%[/tex]

[tex]\%Change = \frac{-3.7* 100\%}{9.6}[/tex]

[tex]\%Change = \frac{-370\%}{9.6}[/tex]

[tex]\%Change = -39\%[/tex] -- (approximated)

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

Otras preguntas