it is a proportional relationship because a proportional relationship is known as a relationship between two quantities in which the ratio of one quantity to the other quantity is constant.
The rate of change equals the slope. In the basic formula y=mx+b, the rate of change is equal to m. In the equation y=5x+3, the rate of change equals 5.
A linear relationship.
The slope of a line is the same thing as the rate of change between two variables in a linear relationship.
Unit rate, slope, and rate of change are different names for the same thing. Unit rates and slopes (if they are constant) are the same thing as a constant rate of change.
A rate of change in a variable Y, if not further qualified, is the change in Y for a unit change in time. However, the rate of change may be defined in terms of a unit change in some other variable (X). In graphical terms, the rate of change for a straight line is its gradient whereas for a curve, the rate of change at a point is the gradient of the tangent to the curve (if a tangent can be defined).
The rate of change is the same as the slope.
If the graph is a non-vertical straight line, then the rate of change is constant. If the line is curved, then the rate of change (slope) varies.
The rate of change in position at a given point in time is instantaneous speed, instantaneous velocity.
The rate of change in position at a given point in time is instantaneous speed, instantaneous velocity.
The rate of change in position at a given point in time is instantaneous speed, instantaneous velocity.
Speed is the rate of change of distance with time. Velocity is the rate of change of displacement with time.
The rate of change of position is the velocity. The velocity at a specific point in time is called the instantaneous velocity.
The rate of change equals the slope. In the basic formula y=mx+b, the rate of change is equal to m. In the equation y=5x+3, the rate of change equals 5.
A linear relationship.
The slope of a line is the same thing as the rate of change between two variables in a linear relationship.
Acceleration is the time rate of change of velocity.
It is the same as it is in calculus: Its the point on a curve where the rate of the rate of change of the curve flips.