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.

Step-by-step explanation:

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

$k=\dfrac{\text{Change in f(x) }}{\text{Change in x}}$

The given table :

Time (hours)  Distance (miles)

    4                   260

    6                   390

    8                   520

   10                   650

The rate of  change for the given table :-

$k=\dfrac{\text{Change in distance }}{\text{Change in time}}\\\\\Rightarrow\ k=\dfrac{390-260}{6-4}=\dfrac{130}{2}=65$

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