Do Now 1.) 2.) 3.) Find the ratio of defective to working calculators in simplest form. 5.) What are the 3 methods of expressing ratios? 4.) Find the ratio.

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Presentation transcript:

Do Now 1.) 2.) 3.) Find the ratio of defective to working calculators in simplest form. 5.) What are the 3 methods of expressing ratios? 4.) Find the ratio of time lifting weights to total workout time in simplest form. =5/7 =4/21 =7/12 to :fraction bar

10/20/ 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 -buzz words- per, each, every

Example 1 AJ 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 33 seconds? 3 words per second AJ can type 99 words in 33 seconds.

Example 2 Jan reads 1,000 words in 5 minutes. Write this rate as a unit rate. = 1,000 words 5 minutes ______________ 200 words 1 minute _____________ ÷5 Jan can read 200 words every minute

Example 3 James earned $216 mowing lawns last month. If he mowed 18 lawns, how much was James paid per lawn? = $ hours ___________ 1 hour __________ $12 ÷18 James was paid $12 per lawn.

Example 4 A cat’s heart beats about 3,600 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 1Find the unit rates. A horse’s heart beats about A cat’s heart beats about

A cat’s heart beats 4,560 more times in 60 minutes than a horse’s heart. Step 2Using 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 3Find the difference. 7,200 – 2,640 = 4,560

rate of change- a rate that describes how one quantity changes in relation to another -usually expressed as a unit rate

Example 5

Exit Ticket

1.) 2.) 3.) A reindeer can run 96 miles in 3 hours. At this rate, how far can a reindeer run in 1 hour? In 5 hours? Explain. 32 miles per hour 160 miles in 5 hours If a group of 4 friends paid $35.04 for movie tickets, how much did each ticket cost? $8.76 Mrs. Carson pays Leilani $48 for babysitting 6 hours, and Mr. Vasquez pays her $67.50 for babysitting 9 hours. Who pays Leilani the better salary? Explain. (Hint do not just look at the total pay) Mrs. Carson pays $8/hour. Mr. Vasquez pays $7.50/hour. Leilani should work more hours for Mrs. Carson.

Homework Pg. 160 #1-28 Evens – ONLY DO PART A of #20 Ch. 2 Quiz Corrections due Tomorrow. Ch.2 Test Corrections due Friday. Ch. 3 Quiz Thursday.