Ratios, Rates, and Proportions

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Presentation transcript:

Ratios, Rates, and Proportions Unit Rates

Unit Rates A rate is a ratio that is expressed with two different units of measure. For example, the distance from Jacksonville to Miami is about 320 miles and takes about 5 hours; this can be expressed as 320𝑚𝑖 5ℎ𝑟𝑠 . Unit rates are rates that have been reduced to a single unit, or 1. Unlike normal rates and ratios, unit rates can have decimals in the numerator, but the denominator should always be 1. For example: 320𝑚𝑖 5ℎ𝑟𝑠 = ÷5 ÷5 = 64𝑚𝑖 1ℎ𝑟 *Always divide by the denominator!!!

Sample Questions 1. Which of the following are unit rates? 75 students to 2 teachers 30lbs of turkey for $8 200 feet in 10 seconds Driving 45 mph *The answer is D: 45𝑚𝑖𝑙𝑒𝑠 1ℎ𝑜𝑢𝑟 2. Use the table to find the unit rate in floors per building. 𝑓 𝑏 = 15 𝑓𝑙𝑜𝑜𝑟𝑠 1 𝑏𝑢𝑖𝑙𝑑𝑖𝑛𝑔 Buildings 1 2 3 Floors 15 20 45

Sample Question 1. An ice cream factory makes 240 qts. of ice cream in 10 hours. What is the rate per hour? 240𝑞𝑡𝑠 10ℎ𝑟𝑠 = 24𝑞𝑡𝑠 1ℎ𝑟 2. Gas mileage is the number of miles you can drive on a gallon of gas. A test of a new car results in 20 gallons used to drive 490 miles. What is the car’s mileage? 490𝑚𝑖𝑙𝑒𝑠 20𝑔𝑎𝑙𝑙𝑜𝑛𝑠 = 24.5𝑚𝑖𝑙𝑒𝑠 1𝑔𝑎𝑙𝑙𝑜𝑛