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The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

The rate of change is constant in each table Find the rate of change Explain what the rate of change means for the situation class=

Respuesta :

The required rate of change is 53 miles/hr

What is speed of a particle ?

The rate of change of position of a particle with respect to time is called speed of that particle.

Speed (Rate of change) = Distance/Time

What is the required rate of change ?

For 1st row,

Time = 4 hours

Distance = 212 miles

Rate of change = Distance/Time

                             = 212/4 miles/hr

                             = 53 miles/hr

Similarly for 2nd row,

Rate of change = 318/6 miles/hr

                          = 53 miles/hr

Also for 3rd row,

Rate of change = 424/8 miles/hr

                          = 53 miles/hr

And for 4th row,

Rate of change = 530/10 miles/hr

                          = 53 miles/hr

So, here the constant rate of change is 53 miles/hr

From this result, we can say that if time & distance increases, then rate of change remains same for the object, i.e. the speed of the object is constant.

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