Unit Rate Word Problems Proportions Assignment 11/6

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What is a unit rate?

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A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

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How do you find the waiting time for a different number of people in line?

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To find the waiting time for a different number of people, set up a proportion based on the known waiting time and the number of people. For example, if 150 people take 20 minutes, then for 240 people, the waiting time can be calculated using the ratio: (20 min / 150 people) = (x min / 240 people).

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What does it mean for a cost to be proportional?

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A cost is proportional if it increases or decreases at a constant rate. For example, if each pizza costs $10, then the total cost for any number of pizzas is proportional to the number of pizzas ordered.

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How do you simplify a ratio?

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To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD). For example, the ratio of 12 girls to 16 boys can be simplified by dividing both by 4, resulting in 3:4.

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What is a complex fraction?

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A complex fraction is a fraction where the numerator, the denominator, or both contain fractions. For example, (1/2) / (3/4) is a complex fraction.

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How do you solve a unit rate word problem?

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To solve a unit rate word problem, identify the quantities involved, set up a proportion if necessary, and solve for the unknown using cross-multiplication or division.

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What is the formula for finding the total cost of multiple items?

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The total cost can be found using the formula: Total Cost = (Cost per item) x (Number of items) + Delivery Fee (if applicable).

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What is a ratio?

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A ratio is a comparison of two quantities that shows the relative size of one quantity to another. It can be expressed in different forms, such as fractions, decimals, or with a colon.

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How do you convert a ratio to a fraction?

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To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator. For example, the ratio 3:4 can be written as the fraction 3/4.

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What is the relationship between ratios and proportions?

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Ratios compare two quantities, while proportions state that two ratios are equal. For example, if a:b = c:d, then a/b = c/d is a proportion.