Question

which estimate best describes the area under the curve in square units? 20 units² 25 units² 35 units² 40 units²

Explanation:

Step1: Count full - squares

Count the number of full - squares. Assume each small square has an area of \(1\) unit².

Step2: Estimate partial - squares

For partial - squares, use the rule that two half - squares make one full - square.
After counting and estimating:
The number of full - squares is \(25\) and the number of partial - squares (equivalent to full - squares after combination) is about \(10\). But a more accurate count (by visual inspection of the graph):
Count the number of squares covered. If we assume each grid square is \(1\times1\) (unit²).
Looking at the graph, we can count approximately \(35\) unit².

Answer:

\(35\) units²