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Lesson Performance Task Cell phone towers are expensive to build, so phone companies try to build as few towers as possible, while still ensuring that all of their customers are within range of a tower. The top figure represents the ranges of three towers that each serve customers within the 0OO shaded areas but leave customers outside the shaded areas. The bottom figure shows towers that are too dlose together. Customers between the towers are not left out, but many customers are served by two towers, a waste of the phone company's money. On a coordinate grid of three cell phone towers, each unit represents 1 mile. The graph of the range of Tower A has the equation x + y' = 36. Tower B is 10 miles west of Tower A. Tower C is 10 miles east of Tower A. CO 1. Graph the ranges of the three towers. (All three have the same range.) 2. Write the equations of the ranges of Tower B and Tower C. 3. Estimate the area of the overlap between Tower A and Tower B. 4. A new tower with a range of 8 miles is being built 5 miles west and 11 miles north of Tower A. Write the equation of the range of the new tower. B-10, 0) OLA(0, 0) c10, 0) O Houghton Miffin Harcourt Publishing Co

Lesson Performance Task Cell phone towers are expensive to build, so phone companies try to build as few towers as possible, while still ensuring that all of their customers are within range of a tower. The top figure represents the ranges of three towers that each serve customers within the 0OO shaded areas but leave customers outside the shaded areas. The bottom figure shows towers that are too dlose together. Customers between the towers are not left out, but many customers are served by two towers, a waste of the phone company's money. On a coordinate grid of three cell phone towers, each unit represents 1 mile. The graph of the range of Tower A has the equation x + y' = 36. Tower B is 10 miles west of Tower A. Tower C is 10 miles east of Tower A. CO 1. Graph the ranges of the three towers. (All three have the same range.) 2. Write the equations of the ranges of Tower B and Tower C. 3. Estimate the area of the overlap between Tower A and Tower B. 4. A new tower with a range of 8 miles is being built 5 miles west and 11 miles north of Tower A. Write the equation of the range of the new tower. B-10, 0) OLA(0, 0) c10, 0) O Houghton Miffin Harcourt Publishing Co

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Lesson Performance Task Cell phone towers are expensive to build, so phone companies try to build as few towers as possible, while still ensuring that all of their customers are within range of a tower. The top figure represents the ranges of three towers that each serve customers within the shaded areas but leave customers outside the shaded areas. The bottom figure shows towers that are too close together. Customers between the towers are not left out, but many customers are served by two towers, a waste of the phone company's money. On a coordinate grid of three cell phone towers, each unit represents 1 mile. The graph of the range of Tower A has the equation x² + y° = 36. Tower B is 10 miles west of Tower A. Tower C is 10 miles east of Tower A. 1. Graph the ranges of the three towers. (All three have the same range.) 2. Write the equations of the ranges of Tower B and Tower C. 3. Estimate the area of the overlap between Tower A and Tower B. 4. A new tower with a range of 8 miles is being built 5 miles west and 11 miles north of Tower A. Write the equation of the range of the new tower. B(-10, 0) OLA(0, 0) C10, 0) O Houghton Mifflin Harcourt Publishing Compan:
Transcribed Image Text:Lesson Performance Task Cell phone towers are expensive to build, so phone companies try to build as few towers as possible, while still ensuring that all of their customers are within range of a tower. The top figure represents the ranges of three towers that each serve customers within the shaded areas but leave customers outside the shaded areas. The bottom figure shows towers that are too close together. Customers between the towers are not left out, but many customers are served by two towers, a waste of the phone company's money. On a coordinate grid of three cell phone towers, each unit represents 1 mile. The graph of the range of Tower A has the equation x² + y° = 36. Tower B is 10 miles west of Tower A. Tower C is 10 miles east of Tower A. 1. Graph the ranges of the three towers. (All three have the same range.) 2. Write the equations of the ranges of Tower B and Tower C. 3. Estimate the area of the overlap between Tower A and Tower B. 4. A new tower with a range of 8 miles is being built 5 miles west and 11 miles north of Tower A. Write the equation of the range of the new tower. B(-10, 0) OLA(0, 0) C10, 0) O Houghton Mifflin Harcourt Publishing Compan:
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