The reasonable estimate of the rate of change for the interval will be 5. Option A is correct.
What is a graph?
A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
We can observe from the graph that the function increases linearly in the range of 100 ≤x ≤ 200.
The following data is obtained;
x₁ = 100 at y₁ = 0
x₂ =200 at y₂ = 500
The rate of change, R is obtained as;
[tex]\rm R = \frac{y_2-y_1}{x_2-x_1} \\\\ R = \frac{500-0}{200-100} \\\\\ R = 5[/tex]
The reasonable estimate of the rate of change for the interval will be 5.
Hence, option A is correct.
To learn more about the graph, refer to the link;
https://brainly.com/question/14375099
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