Modeling Proportional Relationships and Percent Change

What is the main focus of the lesson introduced at the beginning?

• Modeling proportional relationships

• Learning about geometric shapes

• Studying historical events

• Understanding algebraic expressions

How do you calculate the percent of change?

• Divide the final amount by the original amount

• Subtract the original from the final and divide by the original

• Multiply the final amount by the original amount

• Add the final amount to the original amount

What is the first step in deriving the equation for proportional relationships?

• Divide both sides by the final amount

• Subtract the final amount from the original

• Multiply both sides by the original amount

• Add the original amount to both sides

What happens to the equation when you add the original amount to both sides?

• The equation becomes unbalanced

• The final amount is doubled

• The original amount cancels out

• The equation remains balanced

In the example of the bike's price increase, what was the percent change?

• 100%

• 25%

• 50%

• 75%

What is the final equation format after algebraic manipulation?

• Final = Original * Percent Change

• Final = Original / Percent Change

• Final = Original + Original * Percent Change

• Final = Original - Percent Change

In the example of the bike's price decrease, what was the percent change?

• 25%

• 33.33%

• 50%

• 66.67%

What is the significance of the negative sign in the price decrease example?

• It signifies an error in calculation

• It indicates a price increase

• It represents a decrease in price

• It shows a decrease in the original amount

Why is it important to use the order of operations when calculating the equation?

• To avoid errors in the final result

• To make the equation more complex

• To ensure the equation is balanced

• To simplify the equation

What is the general format of the equation derived in the lesson?

• Final = Original * Percent Change

• Final = Original / Percent Change

• Final = Original + Original * Percent Change

• Final = Original - Percent Change