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# Ratio & Rates, Writing & Solving Proportions,Solving Proportions Using Cross Products

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## Danielle Hatfield

on 13 November 2013

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#### Transcript of Ratio & Rates, Writing & Solving Proportions,Solving Proportions Using Cross Products

Ratios and RatesWriting & Solving ProportionsSolving Proportions
Vocabulary
Ratio - A comparison of two numbers using division.EX.) a to b, a : b, a/b
Equivalent Ratios - two or more ratios that have the same value
Proportion - an equation that states that two ratios are equal.
Cross Productthe product of the numerator of one ratio and the denominator of another ratio.
Let's Practice
Ratios & Rates
Tell Whether the ratio is in simplest form. If not, write it in simplest form. Then write the ratio in two other ways.
1. 9 to 122. 4 : 53. 15 to 3
Find the Unit Rate
1. 140 words : 4 minutes2. \$161 : 7 shares3. 80 oz. : 2.5 servings
Write the equivalent rate.
1. if a bike can travel 15 miles in one hour,
how long does it take to travel 85 miles?

2. a jet can travel 200 miles in 20 seconds.
how many miles will it travel in 300 seconds?

3. a car travels 390 meters in 1 hour. how
many meters will it travel in 4.5 hours?
Writing and Solving Proportions
Solve the following Proportions
1. 1/2 = x/502. 3/4 = y/243. f/9 = 21/27
Solving Proportions Using Cross Products
Jenni is mixing punch for 18 people. Her recipe calls for 2.5 cups of sugar for 12 servings. How much sugar will be needed to serve 18?
a sample of 96 light bulbs consisted of 4 defective ones.using our sample, how many defective bulbs are in a batch of 6,000 bulbs?
physics tells us that weights of objects onthe moon are proportional to their weights on Earth. suppose an 180-lb. man weighs 30-lb. on the moon. What will a 60-lb. boy weigh on the moon?
Euros are currency usedin several European countries.On one day in Feb. 2002, you couldexchange \$6 for 6.9 euros.How many euros could you have gottenfor \$20?
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