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Do Now. Pg. 155 #30 & 32. 10/18/2013 3-1 D Rates. Rate- a ratio that compares two quantities with different kinds of units. Unit Rate- a rate that has a denominator of 1 unit. Example 1. Jake can type a 15- character text message in 5 seconds. 1- What is his rate of typing?
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Do Now • Pg. 155 #30 & 32
Rate- a ratio that compares two quantities with different kinds of units
Example 1 Jake can type a 15- character text message in 5 seconds. 1- What is his rate of typing? 2- At this rate, how many characters can he type in 10 seconds? 3 words per second Jake can type 30 words in 10 seconds.
÷5 1,000 words 200 words ______________ _____________ 5 minutes 1 minute = ÷5 Example 2 Lawren reads 1,000 words in 5 minutes. Write this rate as a unit rate. Lawren can read 200 words every minute
÷18 $216 $12 ___________ __________ = 18 hours 1 hour ÷18 Example 3 Megan earned $216 baby sitting last week. If she worked 18 hours, how much was she paid per hour? Megan was paid $12 per hour.
A cat’s heart beats about A horse’s heart beats about Example 4 A cat’s heart beats about3,600 beats every 30 minutes. A horse’s heart beats about 1,320 times every 30 minutes. How many more beats does a cat’s heart beat in 60 minutes than a horse’s heart? Step 1 Find the unit rates.
Step 2 Using the unit rate for each, determine the number of beats in 60 minutes. A cat’s heart beats 120 × 60 or 7,200 beats in 60 minutes. A horse’s heart beats 44 × 60 or 2,640 beats in 60 minutes. Step 3 Find the difference. 7,200 – 2,640 = 4,560 Acat’s heart beats 4,560 more times in60 minutes than a horse’s heart.
Rate of Change- a rate that describes how one quantity changes in relation to another -usually expressed as a unit rate
Joey and Jack paid $180 for 30 students to go to the arcade. Write this rate as a unit rate. $6 per person 1.) 2.) Jill paid $2.59 for a 7-ounce bag of chips. George paid $4.20 for a 12-ounce bag of chips. Who paid more per ounce? Jill
Homework • Pg. 160 #1-24 Evens • Have a great weekend.