Rate Problems Unit Rates A rate compares two

Rate Problems

Unit Rates A rate compares two quantities with different units. A unit rate is a rate in which the second number is 1. Which rates are unit rates? $0. 60 for 1 apple 48 miles in 8 hours $12. 50 for 1 T-shirt $70 for 5 DVDs 6 gallons per minute $3. 60 for 12 oranges 42 miles per gallon

Find Unit Rates Divide the first term in the rate by the second term. When the second term is 1 unit, it becomes the unit rate. Emma hiked 9 miles in 4 hours. What is her rate of speed? A store charges $5. 70 for 15 ounces of oregano. What is the unit price? 9 ÷ 4 = 2. 25 5. 70 ÷ 15 = 0. 38 The unit rate (rate of speed) is 2. 25 miles per hour. The unit price is $0. 38 per ounce. Find the unit rate or unit price. 810 miles in 15 hours $504 for 32 cases of juice drinks

Find Unit Rates Divide the first term in the rate by the second term. When the second term is 1 unit, it becomes the unit rate. A store charges $5. 70 for 15 ounces of oregano. Emma hiked 9 miles in 4 hours. What is her rate of speed? What is the unit price? 9 ÷ 4 = 2. 25 The unit rate (rate of speed) is 2. 25 miles per hour. 5. 70 ÷ 15 = 0. 38 The unit price is $0. 38 per ounce. Find the unit rate or unit price. 810 miles in 15 hours 54 miles per hour $504 for 32 cases of juice drinks $15. 75 per case

Rate Problems Involving Distance, Rate, and Time Use this formula to solve rate problems involving distance, rate, and time: d = rt d = distance r = rate t = time Maya rode 18 miles on her bicycle at an average rate of 5 miles per hour. Solve the rate problems. How long did it take Maya to ride 18 miles? Hayden drove 468 miles to Flagstaff in 9 hours. What was his average rate of speed? d = rt 18 = 5 t 18 5 = 5 t 5 3. 6 = t It took Maya 3. 6 hours to ride 18 miles. Kelley averaged 3. 5 miles per hour on a mountain hike. She hiked for 8 hours. How many miles did she hike?

Rate Problems Involving Distance, Rate, and Time Use this formula to solve rate problems involving distance, rate, and time: d = rt d = distance r = rate t = time Maya rode 18 miles on her bicycle at an average rate of 5 miles per hour. Solve the rate problems. How long did it take Maya to ride 18 miles? Hayden drove 468 miles to Flagstaff in 9 hours. What was his average rate of speed? d = rt 18 = 5 t 18 5 = 5 t 5 3. 6 = t It took Maya 3. 6 hours to ride 18 miles. 52 miles per hour Kelley averaged 3. 5 miles per hour on a mountain hike. She hiked for 8 hours. How many miles did she hike? 28 miles

Rate Problems Involving Simple Interest Use this formula to solve problems involving simple interest: I p r t = = I = prt Interest (amount of money earned) Principal (initial amount of money) Rate (usually given as a percent; convert to decimal form) Time (if less than a year, convert to decimal form) Conrad deposited $1, 250 in a bank account that earns 4% simple interest. How much will be in his account after 6 months? I = prt I = 1, 250 × 0. 04 × 0. 5 Solve the simple interest problem. Kayla paid $3, 360 in interest on a car loan. She paid 8% interest for 3 years. 4% = 0. 04; 6 months = 0. 5 year I = 25 $1, 250 + $25 = $1275 Conrad will have $1275 in his account after 6 months. What was the price of the car?

Rate Problems Involving Simple Interest Use this formula to solve problems involving simple interest: I p r t = = I = prt Interest (amount of money earned) Principal (initial amount of money) Rate (usually given as a percent; convert to decimal form) Time (if less than a year, convert to decimal form) Conrad deposited $1, 250 in a bank account that earns 4% simple interest. How much will be in his account after 6 months? I = prt I = 1, 250 × 0. 04 × 0. 5 Solve the simple interest problem. Kayla paid $3, 360 in interest on a car loan. She paid 8% interest for 3 years. 4% = 0. 04; 6 months = 0. 5 year I = 25 What was the price of the car? $1, 250 + $25 = $1275 Conrad will have $1275 in his account after 6 months. $14, 000