Boost Monday: Increase and Decrease

Front

What is a percentage discount?

Back

A percentage discount is a reduction in the price of an item expressed as a percentage of the original price.

Front

How do you calculate the sale price after applying a percentage discount?

Back

Sale Price = Original Price × (1 - Discount Rate). For example, if a shirt costs $18.50 and has a 20% discount, the sale price is $18.50 × (1 - 0.20) = $14.80.

Front

What does it mean to increase a quantity by a percentage?

Back

To increase a quantity by a percentage means to add that percentage of the original quantity to itself. For example, increasing 40 fish by 25% means adding 10 fish (25% of 40) to get 50 fish.

Front

What is the formula to find the new quantity after a percentage increase?

Back

New Quantity = Original Quantity × (1 + Percentage Increase).

Front

What is the relationship between original price and sale price when a discount is applied?

Back

The relationship can be expressed as Sale Price = Original Price × (1 - Discount Rate).

Front

If the original number of fish is 40 and it increases by 25%, how many fish are there now?

Back

There are 50 fish now (40 + 10, where 10 is 25% of 40).

Front

What is the equation that represents a 20% discount on an item?

Back

y = 0.8x, where y is the sale price and x is the original price.

Front

How do you express a 25% increase in mathematical terms?

Back

A 25% increase can be expressed as y = 1.25x, where y is the new quantity and x is the original quantity.

Front

What does the equation y = 1.25x represent in the context of population increase?

Back

It represents that the new population (y) is 125% of the original population (x), indicating a 25% increase.

Front

What is the formula to calculate the percentage of a number?

Back

Percentage = (Part / Whole) × 100.