Answer: To determine the rate of change of the function described in the table, we need to find the change in the function's values relative to the change in its inputs. In this case, the function values are given in the table as:
Input (x) | Output (f(x))
5 | 12/5
25/2 | 25
The rate of change can be calculated as the difference in the output values divided by the difference in the input values:
Rate of change = (25 - 12/5) / (25/2 - 5)
Simplifying the expression:
Rate of change = (125/5 - 12/5) / (25/2 - 10/2)
= (113/5) / (15/2)
= (113/5) * (2/15)
= 226/75
Therefore, the rate of change of the function described in the table is 226/75.
Explanation: