1) If y varies jointly as x and z , and y = 48 when x = 4 and z = 3 , find y when x = 5 and z = 6 . a) 60 b) 120 c) 30 d) 240 2) The cost (y) of printing varies jointly as the number of pages (x) and the number of copies (z). If printing 10 pages for 5 copies costs ₱100, find the cost of 12 pages for 8 copies. If printing 10 pages for 5 copies costs ₱100, find the cost of 12 pages for 8 copies. If printing 10 pages for 5 copies costs ₱100, find the cost of 12 pages for 8 copies. a) ₱192 b) ₱194 c) ₱190 d) ₱196 3) The total income (y) from selling school event tickets varies jointly as the number of tickets sold (x) and the price per ticket (z). If 100 tickets at ₱50 each yield ₱5,000, find the total income when 150 tickets are sold at ₱60 each. a) ₱6000 b) ₱1500 c) ₱9000 d) ₱3000 4) The total amount of donations (y) varies jointly as the number of donors (x) and the amount each donates (z). If 20 donors each give ₱50, find the total donation if 35 donors each give ₱40. a) ₱1400 b) ₱1500 c) ₱1300 d) ₱1200 5) The calories burned (y) in a dance workout varies jointly as the number of minutes (x) and the number of participants (z). If 5 participants dancing for 30 minutes burn 3,000 calories, how many calories will 8 participants dancing for 45 minutes burn? a) 14400 calories b) 3600 calories c) 7,200 calories d) 9800 calories 6) The data used (y) (in MB) varies jointly as the number of hours online (x) and the number of apps used (z). If 2 hours using 3 apps consumes 900 MB, find the data used for 4 hours using 5 apps. a) 4500 MB b) 1500 MB c) 6000 MB d) 3000 MB 7) The cost (y) of tarpaulin printing varies jointly as the area (x) and the number of tarpaulins (z). If 3 tarpaulins each measuring 4 m² cost ₱600, find the cost of 5 tarpaulins each measuring 6 m². a) ₱15 b) ₱1500 c) ₱15000 d) ₱150 8) The amount of paint (y) used varies jointly as the area of the wall (x) and the number of coats (z). If painting 40 m² with 2 coats uses 8 liters, how many liters are needed to paint 60 m² with 3 coats? a) 18 LITERS b) 14 LITERS c) 16 LITERS d) 12 LITERS 9) The score (y) in a math project varies jointly as the effort (x) and the time spent (z). If 4 hours of effort level 3 yields a score of 72, find the score when 6 hours with effort level 5 are given. a) 180 b) 200 c) 160 d) 140 10) The total cost (y) of buying notebooks varies jointly as the number of notebooks (x) and the price per notebook (z). If 8 notebooks at ₱20 each cost ₱160, find the cost for 15 notebooks at ₱25 each. a) ₱684 b) ₱486 c) ₱648 d) ₱468
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JOINT VARIATION
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Anglcmrcsqt
G9
Math
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