The price of a radio changes from $40.00 to $44.00.
• 10% decrease
• 10% increase
• 36.4% decrease
• 40% increase
increase = $4
percentage increase = 4/40 = .1 = 10%
To determine which option accurately represents the change in price from $40.00 to $44.00, we need to calculate the percentage change.
The formula to calculate percentage change is:
((new value - old value) / old value) * 100
Let's calculate the percentage change using this formula for each option:
1. 10% decrease:
((44 - 40) / 40) * 100 = (4 / 40) * 100 = 0.1 * 100 = 10%
2. 10% increase:
((44 - 40) / 40) * 100 = (4 / 40) * 100 = 0.1 * 100 = 10%
3. 36.4% decrease:
((44 - 40) / 40) * 100 = (4 / 40) * 100 = 0.1 * 100 = 10%
4. 40% increase:
((44 - 40) / 40) * 100 = (4 / 40) * 100 = 0.1 * 100 = 10%
So, the correct answer is the second option: the price of the radio increased by 10%.
To calculate the new price of the radio after each change, we can use the following steps:
1. 10% decrease:
Start with the original price: $40.00
Calculate the 10% decrease: 10% of $40.00 = $4.00
Subtract the decrease from the original price to get the new price: $40.00 - $4.00 = $36.00
The new price after a 10% decrease is $36.00.
2. 10% increase:
Start with the original price: $40.00
Calculate the 10% increase: 10% of $40.00 = $4.00
Add the increase to the original price to get the new price: $40.00 + $4.00 = $44.00
The new price after a 10% increase is $44.00.
3. 36.4% decrease:
Start with the original price: $40.00
Calculate the 36.4% decrease: 36.4% of $40.00 = $14.56
Subtract the decrease from the original price to get the new price: $40.00 - $14.56 = $25.44
The new price after a 36.4% decrease is $25.44.
4. 40% increase:
Start with the original price: $40.00
Calculate the 40% increase: 40% of $40.00 = $16.00
Add the increase to the original price to get the new price: $40.00 + $16.00 = $56.00
The new price after a 40% increase is $56.00.