Explore Our Ski Resort's Diverse Trails for All Skill Levels
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Discover the perfect skiing experience at our resort, boasting 15 easy, 25 intermediate, 7 difficult, and 11 expert-only trails. With a total of 58 trails catering to all skill levels, you'll find the right challenge for you. The ratio of intermediate trails to easy trails is 25:15, which simplifies down to 5:3 or can be stated as 5 to 3. Whether you’re a beginner or an expert, our slopes offer exhilarating runs and stunning scenery. Come and create unforgettable winter memories at our ski resort!
Explore Our Ski Resort's Diverse Trails for All Skill Levels
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Presentation Transcript
Skiing A ski resort has 15 easy, 25 intermediate, 7 difficult, and 11 expert-only trails. Write the ratio “intermediate trails : easy trails” in three ways. intermediate trails 25 5 = = easy trails 15 3 ANSWER 5 The ratio can be written as , 5 : 3, or 5 to 3. 3 EXAMPLE 1 Writing a Ratio Write as a fraction and simplify.
Weather Lightning strikes about 100 times per second around the world. About how many times does lightning strike per minute around the world? Because 60 seconds =1 minute, 60 sec is equivalent to 1. 1 min 60 sec = 1 min 100times 100times 1sec 1sec 6000times = ANSWER 1 min Lightning strikes about 6000 times per minute around the world. EXAMPLE 2 Finding an Equivalent Rate SOLUTION Multiply by a fraction that is equivalent to 1. Simplify.
–24ft 24 5 = – 5sec 5 5 –4.8 = 1 ANSWER The unit rate is –4.8feet per second. Check: Round –4.8 feet per second to –5 feet per second. The product –55 = –25, which is about –24, so the answer is reasonable. EXAMPLE 3 Finding a Unit Rate Write –24 feet per 5 seconds as a unit rate. Divide numerator and denominator by 5 to get a denominator of 1 unit. Simplify.
expert only trails 1. easy trails = ANSWER 11 The ratio can be written as , 11 : 15, or 11 to 15. 15 15 11 2. easy trails 15 7 difficult trails = ANSWER 15 The ratio can be written as , 15 : 7, or 15 to 7. 7 for Examples 1, 2 and 3 GUIDED PRACTICE Use the information in Example 1 to write the ratio in three ways. Write as a fraction and simplify. Write as a fraction and simplify.
Pumping Water 3. A water pump moves 2gallons of water per second. How many gallons of water are pumped per minute? Write your answer as a rate. ANSWER 120gallons of water are pumped per minute for Examples 1, 2 and 3 GUIDED PRACTICE
114 points 114 6 4. = 6 games 6 6 = ANSWER The unit rate is 19points per game. 365 people 365 5 5. = 5 5 5 months 19 73 1 1 = ANSWER The unit rate is 73people per month. for Examples 1, 2 and 3 GUIDED PRACTICE
329 miles 329 10 6. = 10 gallons 10 10 32.9 = 1 ANSWER The unit rate is 32.9miles per gallon. –49 m –49 14 7. = 14 14 14 sec –3.5 m = 1sec ANSWER The unit rate is –3.5mper sec. for Examples 1, 2 and 3 GUIDED PRACTICE