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Q: How is speed different from a rate?
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What is the rate of change in position or rate of motion?

Velocity, which is different than speed in that it has a directional component to it.


How do you use rate in a math sentence?

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Can a rate change and the slope of the line be different quantities?

The instantaneous rate change of the variable y with respect to x must be the slope of the line at the point represented by that instant. However, the rate of change of x, with respect to y will be different [it will be the x/y slope, not the y/x slope]. It will be the reciprocal of the slope of the line. Also, if you have a time-distance graph the slope is the rate of chage of distance, ie speed. But, there is also the rate of change of speed - the acceleration - which is not DIRECTLY related to the slope. It is the rate at which the slope changes! So the answer, in normal circumstances, is no: they are the same. But you can define situations where they can be different.


What is the rate of speed of 3.5 hours per 40 miles?

The rate of speed is 11.43 miles per hour


Is acceleration the same as speed?

Acceleration is the rate that speed changes.