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Direct variation Y = mX Write a direct variation equation. Identify the constant of variation and interpret its meaning. Y Cost ($) The cost of private gymnastic lessons (y) varies directly with the number of sessions (x) as shown in the graph. Constant of variation (slope) 40 35 30 25 20 15 10 5 0 1 10 1 2 3 4 5 6 7 8 9 10 number of sessions Equation y = 10x Meaning: Each session costs $10 X y = mx 15 = m(3) y = 5x y=5·6 y = 30 Y Human years age A 3 year old cat is often considered to be 15 in human years. Assume that the equivalent age in human years (y) varies directly with its age as a cat (x). Write and solve a direct variation equation to determine the human age of a cat that is 6 years old. 40 35 30 25 20 15 10 5 0 2 4 6 8 cat’s age in years 10 y = 30 a cat that is 6 years old is equivalent to a human that is 30 years old X Page 207 1 – 8 all