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# Homework – Worksheet - PowerPoint PPT Presentation

Homework – Worksheet. Do Now 5/27/14 Japan’s Bullet Train is one of the world’s fastest trains. It has a top speed of 186 miles per hour! What was the train’s unit rate for the trip below?. What is a proportion?. Two ratios, set equal to each other.

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Do Now 5/27/14

Japan’s Bullet Train is one of the world’s fastest trains. It has a top speed of 186 miles per hour! What was the train’s unit rate for the trip below?

• Two ratios, set equal to each other.

• Used to solve for a missing piece of the proportion.

• Ex: 3x

4 = 9

• Alex makes granola to take for a healthy snack at school. Six cups of rolled oats are needed to make 9 cups of granola. If he wants to make only 5 cups of granola, how many cups of rolled oats should he use?

• Set up a proportion for the problem.

6 c oats = ___x____

9 c granola 5 c granola

6 c oats= ___x_____

9 c granola5 c granola

6 * 5 = 9x

30 = 9x

30/9 = x

3 1/3 = x

He needs 3 1/3 cups of rolled oats.

• There are many reasons, here’s one:

• Remember the trick for comparing fractions? Just cross multiply and compare the numerators.

• If the numerators are the same, the fractions are equal. For proportions, we assume they are equal ratios and then solve for the missing number.

Solve using cross multiplication:

6 = x 6*12 = 8x

8 12 72 = 8x

9 = x

4 = 5 4*36 = 5m

m36 144 = 5m

28.8 = m

• If a car travels 48 miles per hour, about how many miles does it travel in 5 hours?

• Layla can read 24 pages in 30 minutes. How can you mentally calculate the number of pages she can read in 45 minutes?

• How can you tell without solving that n is greater than 100?

45 = n

20 50

• Classwork: 13-3

• Homework: 13-4