Percent Increase or Decrease with Equations

Front

What is percent increase?

Back

Percent increase is a measure of how much a quantity has grown relative to its original amount, expressed as a percentage. 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 a measure of how much a quantity has reduced relative to its original amount, expressed as a percentage. 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 new value after a percent increase?

Back

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

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

If there are 80 ounces of peanut butter and it decreases by \( \frac{1}{3} \), how many ounces are left?

Back

Calculate: \( 80 - \frac{1}{3} \times 80 = \frac{2}{3} \times 80 = 53.33 \) ounces.

Front

What equation represents Andre's travel time if he takes \( \frac{3}{4} \) more time than Jada?

Back

The equation is: \( y = 1.75x \), where \( y \) is Andre's time and \( x \) is Jada's time.

Front

How do you express a 25% increase in terms of an equation?

Back

A 25% increase can be expressed as: \( y = 1.25x \), where \( x \) is the original value.

Front

What is the formula to calculate the total amount after earning interest?

Back

The total amount after earning interest can be calculated using: \( \text{Total Amount} = \text{Principal} \times \left(1 + \frac{\text{Interest Rate}}{100}\right) \.

Front

If a bond earns 105% interest, how do you calculate its worth after a certain time?

Back

Calculate: \( \text{Worth} = \text{Principal} \times (1 + 1.05) \). For a $150 bond, it would be: \( 150 \times 2.05 = 307.5 \).