# Warmup On page Write each ratio in simplest

• Slides: 11

Warm-up: On page. Write each ratio in simplest form. 1. 2. 3. 4. 5. 48 : 12 36 to 9 75 to 15 42 : 7 125 to 5

Rates

What is rate? • a ratio that compares two quantities measured in different units. • You have 2 buckets of ice cream for 11 people 2 buckets of ice cream/11 people

Example 1 You drive 180 mi in 3 hrs 180 mi/3 hrs or 60 mi/hr

What is a unit rate? HAS A DENOMINATOR OF 1! Divide numerator by denominator! Or you can reverse. The numerator can be one instead. It depends on how you set up your ratio.

Example 2: My heart beats 150 times in 2 minutes. Rate: 150 heartbeats 2 minutes Unit Rate (Divide to get it): 150 ÷ 2 = 75 heartbeats per minute. 75 heartbeats = 1 minute

Example 3: Find the Unit Rate Amy can read 88 pages in 4 hours. What is the unit rate? (How many pages can she read per hour? ) 88 pages 4 hours 22 pages / hour = 22 pages 1 hour

Example 4: Find the Unit Rate A box of crackers has 420 calories in 6 servings. Find the unit rate for 1 serving of crackers. 420 calories 6 servings 70 calories / serving = 70 calories 1 serving

How do you compare unit prices? • Use division to find the unit prices (rate) of both products. • Smaller number (costs less) is the better value.

Example 5 Juice is sold in two different sizes. A 48 -fluid ounce bottle costs \$2. 07. A 32 -fluid ounce bottle costs \$1. 64. Which is the better buy? \$2. 07 48 fl. oz. \$1. 64 32 fl. oz. 0. 043125 0. 05125 \$0. 04 per fl. oz. \$0. 05 per fl. oz. The 48 fl. oz. bottle is the better value because it is \$0. 01 less per fluid ounce.

Example 6 You can buy 3 bagels for \$2. 85 or 5 bagels for \$4. 00. Which is the better buy? \$2. 85 3 bagels \$4. 00 5 bagels \$0. 95 / 1 bagel \$0. 80 / 1 bagel The 5 bagels are the better value because it costs \$0. 15 less per bagel.