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. Time (hours) Distance (miles) 4 260 6 390 8 520 10 650

Answer 1

Rate of change refers to moving a certain amount of distance over a certain time period
rate of change= velocity in this case.

Answer 2

Answer: 65 miles per hour.

Explanation:

The rate of change in a function f(x) is given by :-

`k=\frac{\text{Change in f(x) }}{\text{Change in x}}`

The given table :

Time (hours) Distance (miles)

4 260

6 390

8 520

10 650

The rate of change for the given table :-

`k=\frac{\text{Change in distance }}{\text{Change in time}}\\\\\Rightarrow\ k=(390-260)/(6-4)=(130)/(2)=65`

Hence, the rate of change for the situation = 65 miles per hour.