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.Com
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) (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 \right))
on the function and then choose an amount of change in the independent variable of 
, then the new point will be \right))
. 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:
\ -\ f(x)}{(x\ +\ h)\ -\ x}\ =\ \frac{f(x\ +\ h)\ -\ f(x)}{h})
See illustration
.
For your given function, just plug into the formula:
}{t^2\ +\ th}}{h}\ =\ \frac{-7}{t^2\ +\ th})
John
My calculator said it, I believe it, that settles it
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