In Exercises 24–28, estimate the area under each curve by summing the area of rectangles. Use the left endpoints, then the right endpoints, then give the average of those answers.

In 2001, the United Kingdom suffered an epidemic of foot-and-mouth disease. The graph below shows the reported number of cattle (red) and pigs (blue) that were culled each month from mid-February through mid-October in an effort to stop the spread of the disease.

a. Estimate the total number of cattle that were culled from mid-February through mid-October and compare this with 581,801, the actual number of cattle that were culled. Use rectangles that are one month in width, starting with mid-February.

b. Estimate the total number of pigs that were culled from mid- February through mid-October and compare this with 146,145, the actual number of pigs that were culled. Use rectangles that are one month in width starting with mid-February.

Transcribed Image Text:

Number culled 300,000 250,000 200,000- 150,000- 100,000 50,000 Pigs culled Cattle culled 04 Feb. Mar. Apr. May Jun. Jul. Aug. Sep. Oct.