which is the rate of change for the interval between 2 and 6 on the x - axis?\n-3\n-\\frac{1}{3}\n\\frac{1}{3…
which is the rate of change for the interval between 2 and 6 on the x - axis?\n-3\n-\\frac{1}{3}\n\\frac{1}{3}\n3
Answer
Explanation:
Step1: Identify the formula for rate of change
The rate - of - change formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.
Step2: Determine the points on the graph
When $x = 2$, from the graph $y=2$ (let $(x_1,y_1)=(2,2)$), and when $x = 6$, from the graph $y = 14$ (let $(x_2,y_2)=(6,14)$).
Step3: Calculate the rate of change
Substitute the values into the formula: $m=\frac{14 - 2}{6 - 2}=\frac{12}{4}=3$.
Answer:
3