Answer:
The correct option is;
B. -2
Step-by-step explanation:
From the graph, we have;
At x₁ = 300, y₁ = 800
At x₂ = 400, y₂ = 600
The formula for the slope, m, of a graph is given as follows;
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{600 - 800}{400 - 300}= \dfrac{-200}{100} = -2[/tex]
Therefore, a reasonable estimate of the rate of change for the interval 300 ≤ x ≤ 400 is -2 which is a negative slope as expected as the y-coordinate values, which is the value of the function, decreases while the x-coordinate values which is the independent variable increases as we go from 300 ≤ x ≤ 400.
