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For the function f(x)=4/3x+8, what is the average rate of change over any given interval

a. 4
b. 3
c. 4/3
d. 3/4


2 Answers

4 votes

Final answer:

The average rate of change for the function f(x) = (4/3)x + 8 over any interval is the slope of the line, which is 4/3.

Step-by-step explanation:

The average rate of change for a linear function like f(x) = (4/3)x + 8 is represented by the slope of the line, which is the coefficient of x in the equation.

For the function f(x) = (4/3)x + 8, the average rate of change over any given interval will always be equal to the slope of the function, which is 4/3.

The slope is constant across the entire line, meaning the average rate of change is the same over any interval. In this function, the slope is 4/3, which means the average rate of change over any given interval is 4/3.

User Santhosh S Kashyap
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3.1k points
2 votes

Answer:

C i think i hope it helps

have a good night

User Milan Poudel
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3.1k points