Ratios and Rate Vocabulary A ratio is a

Ratios and Rate

Vocabulary • A ratio is a comparison of two quantities by division. One out of five pairs of shoes are flip fops. - Can be written 1 to 5, 1: 5, or - No units or the same units - Answer typically written in simplest form.

Example 1: For lunch during the summer recreation program, the Youth Center orders 8 pepperoni pizzas out of every 10 pizzas that they order. What is the ratio of pepperoni pizzas to the total number purchased?

Example 2: Last year, Andy’s hockey team had a record of 48 wins out of 64 games played. What was the ratio of wins to games played?

Vocabulary • A rate is a special type of ratio comparing two quantities with different kinds of units. – Traveling 180 miles on 9 gallons of gas – $8. 00 for 2 pounds of roast beef – A verbal model can help us write rates. • A unit rate is a rate that is simplified so that it has a denominator of 1 unit. – A unit rate compares a quantity to 1 unit of another quantity. – The speed limit on I-86 is 65 miles per hour. – NYS minimum wage is currently $7. 25 per hour

Example 3: On his trip to Pittsburgh, Alex drove 161 miles on 7 gallons of gas. What was his gas mileage on the trip in miles per gallon?

Example 4: Lola is painting her room. If ½ gallon of paint covers ⅙ of her walls, how much paint does she need for her entire room?

Example 5: Each morning, it takes Mike 10 minutes to walk ⅓ of a mile to school. What is his average rate of speed in miles per hour?

Sometimes, we are asked to compare unit rates…. . Example 6: During the holidays, Emily spends $12. 50 for 2 pounds of fudge and $23. 85 for 5 pounds of wrapped candy. Which item costs less per pound? By how much?