Understanding Direct and Inverse Proportion in Mathematical Formulas
Explore the concepts of direct and inverse proportion in mathematics through worked examples and formulas, including relationships between variables and their proportionalities. Practice and enhance your understanding of these fundamental principles.
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Direct / Inverse Proportion (x and y) Direct / Inverse Proportion (x and y) Silent Teacher Intelligent Practice Your Turn Narration ? x y = kx ? x2 y = kx2 ? 1/x y = k/x Practice @engmohamedosama
Worked Example Your Turn Write a Formula for: Write a Formula for: ? is porportional to x y is porportional to x y is inversly porportional to x ? is inversly porportional to x ? = 4 ? =8 ? = 2 ? = 4 @engmohamedosama
Type Statement k-Formula k value x = 2 , y = 4 Final Formula ? x ? = k x y is proportional to x x is proportional to y 1 ? ? =? y is inversely proportional to x ? ? x is inversely proportional to y y is proportional to the square of x x is proportional to the square of y x is proportional to ? Y is inversely proportional to ? Y is proportional to x3 x is proportional to 3 more than y
Type Statement k-Formula k value x = 2 , y = 4 Final Formula ? x ? = k x k = 2 ? = 2 ? y is proportional to x x y x = k y k = 0.5 ? = 0.5 ? x is proportional to y 1 ? ? =8 ? =? ? = 8 y is inversely proportional to x ? ? ? x 1 x =8 x =? ? = 8 x is inversely proportional to y ? ? ? y ?2 y = ??2 y = 16?2 ? = 16 y is proportional to the square of x x ?2 x = k?2 x =4?2 ? = 4 x is proportional to the square of y ? = 1 x is proportional to ? x ? x = k ? x = ? 1 ? Y is inversely proportional to ? ? = 4 2 ? =4 2 ? ? = ? ? ? y ?3 y = k?3 y =2?3 Y is proportional to x3 ? = 2 ? =2 x =2 x (y+3) x =k(y+3) x is proportional to 3 more than y 7(y+3) 7
