Answer:
21 is the answer
The instantaneous rate of change of with respect to at the value is 18.
Step-by-step explanation:
a) Geometrically speaking, the average rate of change of with respect to over the interval by definition of secant line:
(1)
Where:
, - Lower and upper bounds of the interval.
, - Function exaluated at lower and upper bounds of the interval.
If we know that , and , then the average rate of change of with respect to over the interval is:
The average rate of change of with respect to over the interval is 27.
b) The instantaneous rate of change can be determined by the following definition:
(2)
- Change rate.
, - Function evaluated at and .
If we know that and , then the instantaneous rate of change of with respect to is:
Total ways possible = 104 ways
The figure is attached here for understanding.
In the figure, the blank points are those points where we can not reach.