Rates, Proportions and Percents Unit Review

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often expressed as a fraction. For example, speed is a rate that compares distance to time (miles per hour).

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

What is a percent?

Back

A percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol '%'. For example, 25% means 25 out of 100.

Front

How do you calculate the total cost including a tip?

Back

To calculate the total cost including a tip, multiply the original amount by the tip percentage (as a decimal), then add that amount to the original cost. For example, for a $50 meal with an 18% tip: $50 x 0.18 = $9; Total = $50 + $9 = $59.

Front

What is the formula to find the selling price after a markup?

Back

The selling price can be found using the formula: Selling Price = Cost Price + (Cost Price x Markup Percentage). For example, if a radio costs $45 and has a 30% markup: Selling Price = $45 + ($45 x 0.30) = $58.50.

Front

How do you convert a map scale to actual distance?

Back

To convert a map scale to actual distance, multiply the measurement on the map by the scale factor. For example, if the scale is 1 inch = 40 miles and the road measures 2.5 inches: Actual distance = 2.5 x 40 = 100 miles.

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What is a circle graph (pie chart)?

Back

A circle graph, or pie chart, is a circular statistical graphic that is divided into slices to illustrate numerical proportions. Each slice represents a category's contribution to the total.

Front

How do you find the percentage of a group?

Back

To find the percentage of a group, divide the number of individuals in the category by the total number of individuals, then multiply by 100. For example, if 168 out of 480 people listen to Rock: Percentage = (168/480) x 100 = 35%.

Front

What is the relationship between rates, proportions, and percents?

Back

Rates, proportions, and percents are interconnected concepts in mathematics. Rates compare quantities, proportions show equality between ratios, and percents express a ratio as a part of 100.

Front

How do you determine who earns the most per hour?

Back

To determine who earns the most per hour, divide each person's total earnings by the number of hours worked. The highest result indicates the highest hourly wage.