Exponential and Percentage Word Problems Practice

Front

What is sales tax?

Back

Sales tax is a percentage of the sale price of goods or services that is collected by the seller and paid to the government.

Front

How do you calculate the total price including sales tax?

Back

Total Price = Original Price + (Original Price × Sales Tax Rate).

Front

If an item costs $100 and the sales tax is 5%, what is the total price?

Back

Total Price = $100 + ($100 × 0.05) = $105.

Front

What is a half-life?

Back

Half-life is the time required for half of a sample of a radioactive substance to decay.

Front

How do you calculate the remaining amount of a substance after a certain number of half-lives?

Back

Use the formula: A = P(1/2)^(t/h), where A is the remaining amount, P is the initial amount, t is the total time, and h is the half-life.

Front

If you start with 8g of a substance with a half-life of 4 hours, how much will remain after 12 hours?

Back

After 12 hours (3 half-lives), A = 8g(1/2)^3 = 8g/8 = 1g.

Front

What is the formula for calculating the original price before sales tax?

Back

Original Price = Total Price / (1 + Sales Tax Rate).

Front

If jeans cost $11.50 after a 15% sales tax, what was the original price?

Back

Original Price = $11.50 / (1 + 0.15) = $10.00.

Front

How do you find the sales tax collected from the total sales?

Back

Sales Tax Collected = Total Sales × Sales Tax Rate.

Front

If a store collects $22.00 in sales tax at a rate of 5%, what were the total sales?

Back

Total Sales = Sales Tax Collected / Sales Tax Rate = $22.00 / 0.05 = $440.