SOLUTION: Can you please help me with this problem? Determine the average rate of change of the function between the given values of the variable. f(t)=7/t t=a, t=a+h

Algebra ->  Rational-functions -> SOLUTION: Can you please help me with this problem? Determine the average rate of change of the function between the given values of the variable. f(t)=7/t t=a, t=a+h       Log On


   



Question 988799: Can you please help me with this problem?
Determine the average rate of change of the function between the given values of the variable.
f(t)=7/t
t=a, t=a+h
The formula confuses me and I'm not sure where to start. Can you help me solve this?
Thanks!

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The average rate of change of a function is defined as the slope of the secant line between two points of interest on the graph of the function.

If you select a point on the function and then choose an amount of change in the independent variable of , then the new point will be . The average rate of change will be the slope of the line that passes through these two points.

Recall the formula for the slope of a line:



where and are the coordinates of the given points.

Compare this to the average rate of change formula:



See illustration
.

For your given function, just plug into the formula:



John

My calculator said it, I believe it, that settles it