Unit 4, Proportional Relationships and Percentages

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100. For example, 25% becomes 0.25.

Front

What is the formula to calculate the percent decrease?

Back

Percent Decrease = \frac{(Original Value - New Value)}{Original Value} \times 100%.

Front

If a jacket costs $85 and is on sale for 40% off, how do you calculate the sale price?

Back

Sale Price = Original Price - (Original Price \times Discount Rate). For this jacket: Sale Price = 85 - (85 \times 0.40) = $51.

Front

What is the sales tax on a $35.50 purchase with a tax rate of 4.5%?

Back

Sales Tax = Purchase Price \times Tax Rate. Sales Tax = 35.50 \times 0.045 = $1.60.

Front

How do you find the total cost after tax?

Back

Total Cost = Purchase Price + Sales Tax.

Front

What does 6.8% represent as a decimal?

Back

6.8% as a decimal is 0.068.

Front

What is a double number line?

Back

A double number line is a visual representation that shows two related quantities and their corresponding values.

Front

If Kim makes 8 loaves of bread and uses 12 cups of raisins, what is the ratio of loaves to cups of raisins?

Back

The ratio of loaves to cups of raisins is 8:12, which simplifies to 2:3.

Front

How do you calculate the percent increase?

Back

Percent Increase = \frac{(New Value - Original Value)}{Original Value} \times 100%.