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Proportionality (mathematics): Quiz


Question 1: Basically, the concept of inverse proportion means that as the ________ or magnitude of one variable gets bigger, the absolute value or magnitude of another gets smaller, such that their product (the constant of proportionality) is always the same.
Euclidean spaceComplex numberVector spaceAbsolute value

Question 2: The graph of two variables varying inversely on the ________ plane is a hyperbola.
Parabolic coordinatesCartesian coordinate systemCylindrical coordinate systemSpherical coordinate system

Question 3: If an object travels at a constant speed, then the ________ traveled is proportional to the time spent traveling, with the speed being the constant of proportionality.
Metric spaceDistanceEuclidean spaceEuclidean vector

Question 4: Likewise, a variable y is logarithmically proportional to a variable x, if y is directly proportional to the ________ of x, that is if there exists a non-zero constant k
LogarithmExponentiationGroup (mathematics)Natural logarithm

Question 5: On a ________ drawn to scale, the distance between any two points on the map is proportional to the distance between the two locations that the points represent, with the constant of proportionality being the scale of the map.
NavigationMapGlobal Positioning SystemCartography

Question 6: A variable y is exponentially proportional to a variable x, if y is directly proportional to the ________ of x, that is if there exists a non-zero constant k
Exponential functionExponentiationNatural logarithmEuler's formula

Question 7: To determine experimentally whether two physical quantities are directly proportional, one performs several measurements and plots the resulting data points in a ________.
Spherical coordinate systemParabolic coordinatesCylindrical coordinate systemCartesian coordinate system

Question 8: The force acting on a certain object due to ________ is proportional to the object's mass; the constant of proportionality between the mass and the force is known as gravitational acceleration.
GravitationGeneral relativityEquivalence principleIntroduction to general relativity

Question 9: In ________, two quantities are said to be proportional if they vary in such a way that one of the quantities is a constant multiple of the other, or equivalently if they have a constant ratio.
MathematicsSet theoryMathematical logicGeometry

Question 10: The circumference of a ________ is proportional to its diameter, with the constant of proportionality equal to π.
Polar coordinate systemCircleConic sectionGeometry


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