Respuesta :

Answer:

The average rate of change in the interval [0,3] is 1

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

[tex]\frac{g(t2)-g(t1)}{t2-t1}[/tex]

In this problem we have

The interval [t1,t2] is [0,3]

so

[tex]t1=0[/tex]

[tex]t2=3[/tex]

[tex]g(t1)=g(0)=1[/tex]  

[tex]g(t2)=g(3)=4[/tex]

Substitute

[tex]\frac{4-1}{3-0}=1[/tex]

therefore

The average rate of change in the interval [0,3] is 1