C2.Mod 1 Topic 2 Percent Proportions and Equations

Front

What is a percent?

Back

A percent is a ratio expressed as a fraction of 100. It represents a part of a whole.

Front

How do you calculate a percentage of a number?

Back

To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 20% of 50, calculate 50 x 0.20 = 10.

Front

What is a commission?

Back

A commission is a fee paid to an employee or agent for services rendered, typically calculated as a percentage of the sales made.

Front

If a house sells for $200,000 and the commission is 5%, how much is the commission?

Back

$10,000 (calculated as 200,000 x 0.05).

Front

What is a discount?

Back

A discount is a reduction in the original price of a product or service, often expressed as a percentage.

Front

If a computer originally costs $550 and is discounted to $385, what percent of the original price does Mark pay?

Back

70% (calculated as 385/550 = 0.70).

Front

How do you find the new price after applying a discount?

Back

To find the new price after a discount, subtract the discount amount from the original price. For example, if the original price is $100 and the discount is 20%, the new price is $100 - ($100 x 0.20) = $80.

Front

What is the formula to calculate the total bill including a tip?

Back

Total Bill = Original Bill + (Tip Percentage x Original Bill). For example, if the bill is $124 and the tip is 20%, the total bill is $124 + ($124 x 0.20) = $148.80.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

If a sporting goods store has a sale sign showing a 25% discount, what is the constant of proportionality for the sale price?

Back

0.75 (because the sale price is 75% of the original price).