Percent of Change Word Problems

Front

What is percent of change?

Back

Percent of change is a way to express how much a quantity has increased or decreased in relation to its original amount, calculated as (new value - original value) / original value × 100%.

Front

How do you calculate a percent decrease?

Back

To calculate a percent decrease, subtract the new value from the original value, divide by the original value, and multiply by 100%.

Front

How do you calculate a percent increase?

Back

To calculate a percent increase, subtract the original value from the new value, divide by the original value, and multiply by 100%.

Front

If a jacket costs $120 and is on sale for 35% off, how do you find the sale price?

Back

Calculate the discount by multiplying $120 by 0.35 (which is 35%), then subtract that amount from $120.

Front

What is the formula for finding the sale price after a discount?

Back

Sale Price = Original Price - (Original Price × Discount Rate).

Front

If a population increases by 130%, how do you find the new population?

Back

Multiply the original population by 1.30 (which represents the original plus the increase) to find the new population.

Front

What does a 12.5% decrease mean in terms of original value?

Back

A 12.5% decrease means the new value is 87.5% of the original value.

Front

How do you express a decrease of 25% in a mathematical equation?

Back

New Value = Original Value × (1 - 0.25).

Front

What is the percent change if the original value is 3000 and the new value is 2100?

Back

Percent Change = ((2100 - 3000) / 3000) × 100% = -30%.

Front

If Sonya's heart rate increased from 76 to 133 beats per minute, how do you calculate the percent increase?

Back

Percent Increase = ((133 - 76) / 76) × 100% = 75%.