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TUESDAY, DECEMBER 6TH Please take out homework (Worksheet) and complete warm up Did you write down the homework? o o 1. Find k in each proportion y=5x 2. y=2/3x DID ANYONE TRY THIS? For most people, the ratio of the length of their head to their total height is 1:7. Use proportions to test your measurements and see if they match this ratio. CORNY JOKE OF THE DAY What do you call a cow who can’t give milk? An “udder” failure! WHERE IS THE ORIGIN?!?! IS THIS AN EXAMPLE OF DIRECT VARIATION?! 1/6 is not the same as 2/8 or 3/10 or ………. X y 1 6 2 8 3 10 4 12 5 14 HOMEWORK ANSWERS Step 1: Is it a direction Variation? Make a graph that shows the relationship between the number of minutes and the distance the train travels. Plot the points. The points lie in a straight line. (0, 0) is included. Determine whether the data set shows direct variation by finding the proportions AND graphing it! Kyle's Basketball Shots Distance (ft) Number of Baskets Proportion Check: 20 30 40 5 3 0 You can also compare ratios to see if a direct variation occurs. 60 5 ? 3 20 = 30 150 60. The ratios are not proportional. 150 The relationship of the data is not a direct variation. Graphing Check: Number of Baskets 5 4 3 2 1 20 30 40 Distance (ft) y is 54 when x is 6 y = kx 54 = k 6 y varies directly with x. Substitute for x and y. 9=k Solve for k. y = 9x Substitute 9 for k in the original equation. x is 12 when y is 15 y = kx y varies directly with x. 15 = k 12 Substitute for x and y. 5=k 4 5 y= x 4 Solve for k. 5 Substitute for k in the original equation. 4 y is 8 when x is 5 y = kx y varies directly with x. 8=k5 Substitute for x and y. 8=k 5 Solve for k. 8 y= x 5 Substitute8 for k in the original equation. 5 • The table shows the amount of money Max makes for different amounts of time he works. • Determine whether there is a direct variation between the two sets of data. • If so, find the equation of direct variation. • Graph the variation (Make sure to label each side) direct variation; y = 12x