what is the rate of change of the function represented by the table?\n| x | y |\n|----|----|\n| 1 | 5 |\n| 2…
what is the rate of change of the function represented by the table?\n| x | y |\n|----|----|\n| 1 | 5 |\n| 2 | 5 |\n| 3 | 5 |\n| 4 | 5 |\n0\n1\n4\n5
Answer
Explanation:
Step1: Recall rate - of - change formula
The rate of change (slope) of a function between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.
Step2: Select two points from the table
Let's take $(x_1,y_1)=(1,5)$ and $(x_2,y_2)=(2,5)$.
Step3: Calculate the rate of change
Substitute into the formula: $m=\frac{5 - 5}{2 - 1}=\frac{0}{1}=0$.
Answer:
0