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Let  f(x)=ln(3x)+2.5 .

 

What is the average rate of change of f(x) from 2 to 7?

Round your answer to the nearest hundredth. 

 

−3.99

−0.25

0.25

3.99

 Mar 20, 2018
 #1
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You can use desmos.com/calculator to graph the function. It helps a lot when you need to visualize.

 

Looking at the graph, when x = 2, y = 4.25, but when x = 7, y = 5.5.

 

Calculating the rate of change is like calculating the slope. 

 

(5.5-4.25)/(7-2)

 

This is equal to 0.25. 

 

The final answer is 1/4

 Mar 21, 2018

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