The number you read on the speedometer of your car is the
present rate of change of the distance you've covered.
To find the rate of change. Velocity, for example, is the rate of change of distance - in a specified direction. Acceleration is the rate of change of velocity.
Velocity is the rate of change of position. Acceleration is the rate of change of velocity. How fast you spend money. How fast you do a certain job done, assuming it can be split into pieces. For example, wash dishes.
This is done with a process of limits. Average rate of change is, for example, (change of y) / (change of x). If you make "change of x" smaller and smaller, in theory (with certain assumptions, a bit too technical to mention here), you get closer and closer to the instant rate of change. In the "limit", when "change of x" approaches zero, you get the true instantaneous rate of change.
A banana is a non example of rate. They have nothing to do with each other.
The first derivative is the rate of change, and the second derivative is the rate of change of the rate of change.
a car braking is a negative rate of velocity change
Rate of change of distance is called speed.Rate is defined as change with respect to time.
To find the rate of change. Velocity, for example, is the rate of change of distance - in a specified direction. Acceleration is the rate of change of velocity.
The population of a species over a period of time will change according to some rate of change.
a car going from stoplight to next intersection accelerates at a positive rate of velocity change
The answer depends on the rate of WHAT! The rate of water boiling, for example, will increase with temperature but the rate of ice forming will decrease.
it's an example of physical change
Velocity is the rate of change of position. Acceleration is the rate of change of velocity. How fast you spend money. How fast you do a certain job done, assuming it can be split into pieces. For example, wash dishes.
It would depend on what is changing and on what timescale. For example, the rate of change of speed (acceleration) can be either ms-2 or miles/hour2.
A constant rate of change is anything that increases or decreases by the same amount for every trial. Therefore an example could be driving down the highway at a speed of exactly 60 MPH. If your speed doesn't change you are driving at a constant rate. Here's another: your cell phone company charges you $0.55 for every minute you use. The rate that you are charged always stays the same so it is a constant rate of change. Anything that goes up by X number of units for every Y value every time is a constant rate of change.
This is done with a process of limits. Average rate of change is, for example, (change of y) / (change of x). If you make "change of x" smaller and smaller, in theory (with certain assumptions, a bit too technical to mention here), you get closer and closer to the instant rate of change. In the "limit", when "change of x" approaches zero, you get the true instantaneous rate of change.
No, it is not an example of a nonlinear relationship because there is a steady rate of change.