Proportional Reasoning- Percent

Front

What is proportional reasoning?

Back

Proportional reasoning is the ability to compare ratios and understand the relationship between quantities. It involves recognizing that two ratios are equivalent.

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 the total cost including sales tax?

Back

To calculate the total cost including sales tax, multiply the original price by the sales tax rate (as a decimal) and add it to the original price.

Front

If an item costs $50 and has a 10% sales tax, what is the total cost?

Back

Total cost = $50 + ($50 * 0.10) = $55.

Front

What does a discount mean?

Back

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

Front

How do you find the original price after a discount?

Back

To find the original price, divide the sale price by (1 - discount rate).

Front

If a pair of shoes is on sale for $47.03 after a 5% discount, what was the original price?

Back

Original price = $47.03 / (1 - 0.05) = $49.50.

Front

What is simple interest?

Back

Simple interest is calculated on the principal amount only, not on the interest accrued over time.

Front

How do you calculate simple interest?

Back

Simple Interest = Principal x Rate x Time.

Front

If Mrs. Evans earned $150 in interest on a $2000 investment over 3 years, what was the interest rate?

Back

Interest rate = (Interest / (Principal x Time)) x 100 = (150 / (2000 x 3)) x 100 = 2.5%.