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

Respuesta :

jessieydoll01
Rate of change refers to moving a certain amount of distance over a certain time period
rate of change= velocity in this case.


JeanaShupp

Answer: 65 miles per hour.

Step-by-step explanation:

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

[tex]k=\dfrac{\text{Change in f(x) }}{\text{Change in x}}[/tex]

The given table :

Time (hours)  Distance (miles)

    4                   260

    6                   390

    8                   520

   10                   650

The rate of  change for the given table :-

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

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

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