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What is the constant of variation in the following equation? y = 0.5x y 0.5 x 0.5x What is the constant of proportionality in the table above? x y 8 0.5 48 3 80 5 160 10 800 5 0 y is inversely proportional to x. Given that y = 12 when x = 5, find the value of x when y = 6. x= The interest received on a savings account varies directly with the amount deposited. Matt received $25 in interest on the $500 he deposited. a. What is the constant of variation? (as a decimal) b. How much interest would he had received if he had deposited $2200 into his account? $ The time it takes to travel to Vung Tau from HCMC variesinversely with the speed. It takes 1.5 hours totravel to Vung Tau from HCMC at 64 miles per hour. a. What is the constant of variation? b. Find the time it will take to travel the same distance at 40 miles per hour. (answer in decimal) hrs hrs Which equation describes the relationship between the weight on the moon and the weight on earth? y=6x y=1/6x xy=24 y=1/3x If y and x vary directly and the COP is 4 and y=9.2, what is the value of x? answer as decimal Write an equation for the following situation: Where x is hours and y is total hotdogs eaten Trent ate 60 hotdogs in two and 1/2 hours. y = 60x y = 2.5x y = 24x y = 150x What is the COP (k) for the above data table? x y 9 2 4.5 18 -18 -4.5 4.5 4 6 3 8 2.25 10 1.8 Which of the following tables represents a direct variation (proportional)? a) b) y y x x 2 8 1 3 12 4 2 6 20 3 9 6 c) d) x y x y 10 1 2 -4 2 4 0 0 8 4 10 4 Find k when: k= 2 5 y = 4 5 x Temperature and Depth are inversely proportional,what will the temperature be at a depth of 700ft? f f f If x and y vary inversely,find the missing value below. (20, y) and (2, 10) y= The total cost for cinema tickets varies directly to the number of tickets purchased. If 8 tickets cost $19.60, identifythe constant of variation and write an equation to represent the relationship. y=2.45x y=8x y=19.60x xy=156.80 The amount of bags of flour a bakery uses (F) is directlyproportional to the number of loaves (L) of bread theymake each day. The table shows the relationship between the number of bags of flour used and theloaves of bread baked. Find the missing values in the table: L F a 1 10.5 b 21 3 a) b) >b) If 6 staff are working how much do they each receive in tips? There is $540 collected in tips at a restaurant. The amount each staff member receives, y, is inversely proportional to the number of staff working, x, a) Write an inverse proportion equation relating x and y. $ xy= B varies inversely with C, and B = 77 when C = 1/7 Find K K= The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, putting it together. It takes 4 children 6 hours to put the puzzle together. How many children are needed to put the same puzzle together in 2 hours? children b) Write an equation relating w and t: c) How many minutes will it take her to type 675 words? Mary can type 270 words in 4 minutes. The number of wordsshe types, w, is directly proportional to the length of time, t, she takes to type. a) Find K a) b) c) mins Tell whether each equation is direct variation, inverse variation or neither. Find K if possible: a) y=15x b) 0.2xy=6 c) y÷x=10 k= k= k= Write an equation relating Distance, d, to Time, t |