Percent Increase or Decrease with Equations

Front

What is percent increase?

Back

Percent increase is the amount of increase expressed as a percentage of the original amount. It is calculated using the formula: \( \text{Percent Increase} = \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \times 100 \% \.

Front

What is percent decrease?

Back

Percent decrease is the amount of decrease expressed as a percentage of the original amount. It is calculated using the formula: \( \text{Percent Decrease} = \frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \times 100 \% \.

Front

How do you calculate the original value after a percent decrease?

Back

To find the original value after a percent decrease, use the formula: \( \text{Original Value} = \frac{\text{New Value}}{1 - \frac{\text{Percent Decrease}}{100}} \.

Front

How do you calculate the original value after a percent increase?

Back

To find the original value after a percent increase, use the formula: \( \text{Original Value} = \frac{\text{New Value}}{1 + \frac{\text{Percent Increase}}{100}} \.

Front

If a population decreases by 10% and the current population is 540, how do you find the original population?

Back

Use the formula: \( \text{Original Population} = \frac{540}{1 - 0.10} = 600 \.

Front

What equation represents a 30% decrease in miles driven?

Back

The equation is: \( y = 0.7x \), where \( x \) is the miles driven last month.

Front

What does the equation \( y = 1.25x \) represent?

Back

This equation represents a 25% increase from \( x \) to \( y \).

Front

If the price of an item is $1.75 and it decreases by 20%, how do you find the new price?

Back

Calculate the new price using: \( \text{New Price} = 1.75 \times (1 - 0.20) = 1.40 \.

Front

What is the formula for calculating percent change?

Back

The formula for percent change is: \( \text{Percent Change} = \frac{\text{Change}}{\text{Original Value}} \times 100 \% \.

Front

If Jada takes \( x \) minutes to get to school and Andre takes \( y \) minutes, how do you express Andre's time if he takes \( \frac{3}{4} \) more time?

Back

The equation is: \( y = 1.75x \).