Direct Variation Math 9 PDF

 Read and analyze the given situation below then answer the questions that follows. THE SSG OF KAONG NATIONAL HIGH SCHOOL LAUNCHES A RECYCLING CAMPAIGN OF WASTE MATERIALS IN ORDER TO RAISE STUDENTS’ AWARENESS OF ENVIRONMENTAL PROTECTION AND THE EFFECTS OF CLIMATE CHANGE. THIS IS IN CONNECTION W...

 Read and analyze the given situation below then answer the questions that follows. THE SSG OF KAONG NATIONAL HIGH SCHOOL LAUNCHES A RECYCLING CAMPAIGN OF WASTE MATERIALS IN ORDER TO RAISE STUDENTS’ AWARENESS OF ENVIRONMENTAL PROTECTION AND THE EFFECTS OF CLIMATE CHANGE. THIS IS IN CONNECTION WITH THE CELEBRATION OF EARTH MONTH. EVERY KILOGRAM OF WASTE MATERIALS EARNS POINTS THAT CAN BE EXCHANGE FOR SCHOOL SUPPLIES. PAPER, WHICH IS THE NUMBER ONE WASTE COLLECTED, EARNS 6 POINTS FOR EVERY KILO. THE TABLE BELOW SHOWS THE POINTS EARNED BY GRADE 9 MANGGA CLASS FOR EVERY NUMBER OF KILOGRAMS OF WASTE PAPER COLLECTED. 1. What happens to the number of points when the number of kilograms of paper doubled? 2. How many kilograms of papers will the Grade 9 Mangga class have in order to raise 600 points? 3. What have you noticed with the two quantities? Is there a direct relationship between them? DIRECT VARIATION DIRECT VARIATION IS A RELATIONSHIP BETWEEN TWO VARIABLES SUCH THAT IF ONE VARIABLE CHANGES, THE OTHER VARIABLE ALSO CHANGES IN PROPORTION TO THE FIRST. SPECIFICALLY, IF THE VALUE OF ONE VARIABLE INCREASES, THE VALUE OF  '𝑦 DIRECTLY AS 𝑥' IS WRITTEN IN THE STATEMENT VARIES SYMBOLS AS 𝑦 = 𝑘𝑥, WHERE 𝑘 IS THE CONSTANT OF PROPORTIONALITY. IT IS ALSO '𝑦 IS DIRECTLY PROPORTIONAL EQUIVALENT TO THE STATEMENT 1. IF 𝑦 VARIES DIRECTLY AS 𝑥 EXAMPLES: AND 𝑥 = 6 WHEN 𝑦 = 12, WHAT IS 𝑦 WHEN 𝑥 = 18 EQUATION. SINCE 𝑦 VARIES STEP 1: WRITE THE CORRECT DIRECTLY AS 𝑥, THE EQUATION IS 𝑦 =𝑘𝑥. OF PROPORTIONALITY 𝑘. SINCE STEP 2: FIND THE CONSTANT 𝑥 = 6 WHEN 𝑦 = 12, THE CONSTANT OF 𝑦 =𝑘𝑥 PROPORTIONALITY IS 12 =𝑘(6) STEP 3: REWRITE THE EQUATION IN STEP 1 BY 𝑘. SINCE 𝑘 = 2AND 𝑦 = 𝑘𝑥, SUBSTITUTING THE VALUE OF THE MODEL IS 𝑦 = 2𝑥. STEP 4: FIND THE UNKNOWN BY SUBSTITUTING TO THE IS 𝑦 WHEN 𝑥 = 18? EQUATION IN STEP 3. WHAT 𝑦 =2𝑥 𝑦 =2 (18) 𝑦 =36 2. IF 𝑦 = 12 WHEN 𝑥 = 4, FIND 𝑦 WHEN 𝑥 = 12. 𝑦 = 𝑘𝑥 𝑦 = 𝑘𝑥 𝑦 = 3𝑥 𝑘(4) 𝑦 12 = = 𝑦 = 36 12 = 3(12) 4𝑘 3. IF 𝑦 = −18 WHEN 𝑥 = 9, FIND 𝑦 WHEN 𝑥 = 7 𝑦 = 𝑘𝑥 𝑦 = 𝑘𝑥 𝑦 = -2𝑥 𝑘(9) 𝑦 = - -18 = 𝑦 = - -18 = 2(7) 9𝑘 QUIZ 1: IN EACH, Y VARIES DIRECTLY AS X. FIND THE 1. IF 𝑦 = −3 WHEN 𝑥 = −4, VALUES AS INDICATED. FIND 𝑥 WHEN 𝑦 = 2. 2. IF 𝑦 = 3 WHEN 𝑥 = 10, FIND 𝑥 WHEN 𝑦 = 1.2 TRANSLATE THE IDEA REPRESENTED BY THE FOLLOWING STATEMENTS: 1. The more you train hard, the more chances of winning. 2. The more you eat, the more chances of gaining weight. 3. The more you study hard, the more chances of getting high grades. 4. The more you gain age, the more chances of losing your vision. 5. The many you share, the smaller your part. DETERMINE IF THE TABLE BELOW EXPRESS A DIRECT VARIATION BETWEEN TWO QUANTITIES OR NOT. DETERMINE IF THE TABLE BELOW EXPRESS A DIRECT VARIATION BETWEEN TWO QUANTITIES OR NOT. THE DISTANCE TRAVELLED BY THE MOTORIST VARIES DIRECTLY AS THE TIME SPENT. FIND THE CONSTANT OF VARIATION AND THE EQUATION WHICH DESCRIBE THE RELATION. DIRECTION: ANALYZE THE PROBLEM THEN ANSWER THE FOLLOWING QUESTION:  Kaong Junk shops pay Php12.00 for every kilo of tin cans bought from collectors. The table shows c as the cost in peso and h as the number of kilos of tin cans:  Question: 1. Write a mathematical statement that relates the two quantities h and c, formulate the equation. 2. What is the constant of variation?  SHORT QUIZ: DIRECTION: DETERMINE IF THE TABLE OF VALUES EXPRESS A DIRECT VARIATION BETWEEN TWO VARIABLES. IF THEY DO, FIND THE CONSTANT OF VARIATION AND AN EQUATION THAT DEFINES THE RELATION. 1. 4. 2. 5. 3.