Question: Climate Scientists have long been interested in studying global climatic changes and the effect of such changes on many aspects of the environment. From carefully controlled experiments, two scientists constructed a model to simulate daily snow depth in a region of the Northwest Territories in Canada. Rates of change (in equivalent centimeters of water per day) estimated from their model are shown as a scatter plot in the accompanying figure. Appropriate models have been sketched on the scatter plot. Note that both vertical and horizontal scales change after June 9 .

1. What does the figure indicate occurred between June 9 and June $11 ?$
2. Estimate the area of the region beneath the curve from April 1 through June 9. Interpret your answer.
3. Use four midpoint rectangles to estimate the area of the region from June 11 through June 15 . Interpret your answer.

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