
Summative Test Module 2
QuizĀ by Hannah Jean Rico
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It is defined as the variation where a quantity depends directly on two or more other quantities,
Constant of variation is also known as ___________________________
It is defined as the variation where a quantity depends on two or more other quantities, whereas one quantity varies directly while the other quantity varies inversely. Ā
Which of the following equations best represent the statement āy varies directly as x and the square of zā?
Ā If z varies jointly with x and y. When x=2 and y= -6, z= 24, then find z when x =-4 and y =5.Ā
āThe Work w (in Joules) done when lifting an object varies jointly with the mass m (in Kilogram) of the object and the height h (in meters) that the object
is lifted. The work done when a 120-kilogram object is lifted 1.8 meters is 2,116.8 Joules.ā
Ā Which of the following best translates the given situation into its corresponding mathematical equation?
āThe Work w (in Joules) done when lifting an object varies jointly with the mass m (in Kilogram) of the object and the height h (in meters) that the object
is lifted. The work done when a 120-kilogram object is lifted 1.8 meters is 2,116.8 Joules.ā
Question:Ā
What is the constant of variation?
āThe Work w (in Joules) done when lifting an object varies jointly with the mass m (in Kilogram) of the object and the height h (in meters) that the object
is lifted. The work done when a 120-kilogram object is lifted 1.8 meters is 2,116.8 Joules.ā
Question:Ā
How much work is done when lifting a 100-kilogram object 1.5 meters?
āThe volume of wood in a tree (V) varies directly as the height (h) and inversely as the square of the girth (g). The volume of a tree is 144 cubic meters when the height is 20 meters and the girth is 1.5 meters.ā
Question:Ā
Ā Which of the following best translates the given situation into its corresponding mathematical equation?
āThe volume of wood in a tree (V) varies directly as the height (h) and inversely as the square of the girth (g). The volume of a tree is 144 cubic meters when the height is 20 meters and the girth is 1.5 meters.ā
Question:Ā
What is the constant of variation?
āThe volume of wood in a tree (V) varies directly as the height (h) and inversely as the square of the girth (g). The volume of a tree is 144 cubic meters when the height is 20 meters and the girth is 1.5 meters.ā
Question:Ā
What is the height of a tree with a volume of 1,000 cubic meters and a girth of 2meters?
Which ofthe following is the correct translation of the variation equation Ā š” = ššš2?
What is the initial step in solving joint and combined variation?
"a varies directly as b and inversely as c." If a = 5 when b = 2 and c = 4, what is the equation and the value of a andĀ if b = 5 and c = 25?
" f varies directly as the square of g and inversely with p"Ā Ā If f =24, then g= 6 and p = 12. What is the equation of the statement and the value of p if f=4 and g = 3?Ā
"G is jointly proportional to h and inversely proportional to the square of f"Ā
If G = 8, h=6 and f = 3. What is the equation of the statement and the value of G if h=12 and f = 6?