Percent Increase and Decrease Concepts

This video tutorial teaches how to calculate the amount of change and the final amount given the original amount and the percent of change. It covers three methods: using diagrams, proportions, and equations. The video also addresses common misconceptions about percent change and provides examples to illustrate each method.

What is the first step in finding the amount of change given the original amount and the percent of change?

• Divide the original amount by the percent of change.

• Multiply the original amount by the percent of change.

• Subtract the percent of change from the original amount.

• Add the percent of change to the original amount.

Which method involves using cross products to solve for an unknown in a proportion?

• Using equations

• Using subtraction

• Using diagrams

• Using proportions

Why is it incorrect to assume that a 40% increase means adding $40?

• Because 40% is a fraction, not a fixed amount.

• Because 40% is always less than $40.

• Because 40% is always more than $40.

• Because 40% is not related to money.

If a club had 24 members last year and increased by 25%, how many members are there this year?

• 31

• 30

• 25

• 24

What is the first step in using proportions to find the final amount after a percent increase?

• Add the percent to the original amount.

• Multiply the percent by 100.

• Subtract the percent from the original amount.

• Find the percent of the original amount.

Which method involves visual representation to understand percent change?

• Using diagrams

• Using subtraction

• Using equations

• Using proportions

How can you find 125% of a number using equations?

• Divide the number by 0.25

• Divide the number by 1.25

• Multiply the number by 0.25

• Multiply the number by 1.25

What is the advantage of using equations to find the final amount?

• It is faster and requires fewer steps.

• It is more accurate than other methods.

• It is easier to understand.

• It requires no calculations.

What is the result of converting 25% to a decimal?

• 25

• 0.025

• 2.5

• 0.25

What is the final amount if the original amount is 24 and the percent increase is 25%?

• 30

• 31

• 25

• 24