Question

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

Answer 1

Rate of change is 260/4=65 miles /h

the rate of change is the speed

Answer 2

Answer: 65 miles per hour

Explanation:

We know that the rate of change of a function f(x) from x=a to x=b is given by :-

`(f(b)-f(a))/(b-a)`

Now, the rate of change for the given table is given by :_

`k=\frac{\text{Distance(6)-Distance (4)}}{6-4}\\\\\Rightarrow\ k=(390-260)/(2)\\\\\Rightarrow\ k=65`

Hence, the rate of change for the given table is 65 miles per hour.