On your next vacation, you will divide lodging between large resorts and small inns. Let x represent the number of nights spent in large resorts. Let y represent the number of nights spent in small inns. Complete parts a through c below. a Write a system of inequalites that model the condtions. You want to stay at least 5 nights. At least one night should be spent at a large resort. Large resorts average $200 per night and small inns average S100 per night. Your budget permits no more than $700 for lodging Choose the correct answer below OA ya0, xya 5, xa 1, 200x 100y s 700 OB. ya1, xya 5, xa 0, 200x + 100y a 700 OC. ya1, xya 5, xs0, 100x + ya 700 OD. ya0,xya5, xa 1, x+2000y s 700 b. Select the graph of the system of inequaites in part (a). Choose the corect graph below. c. Based on your graph in part (b), what is the greatest number of nights you could spend at a large resort and still stay within your budget?

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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On your next vacation, you will divide lodging between large resorts and small inns. Let x represent the number of nights spent in large resorts. Let y represent the number of nights spent in small inns. Complete parts a through c below.
a. Write a system of inequalities that model the conditions. You want to stay at least 5 nights. At least one night should be spent at a large resort. Large resorts average $200 per night and small inns average $100 per night. Your budget permits no more than $700 for lodging
Choose the correct answer below.
O A. yz0, x + y2 5, x21, 200x + 100y s 700
O B. yz 1, x+ y2 5, x2 0, 200x + 100y z 700
OC. yz1, x+y2 5, xs0, 100x + yz 700
O D. yz0, x+y2 5, x21, x+200y s 700
b. Select the graph of the system of inequalities in part (a). Choose the correct graph below.
OA.
OB.
OC.
c. Based on your graph in part (b), what is the greatest number of nights you could spend at a large resort and still stay within your budget?
Transcribed Image Text:On your next vacation, you will divide lodging between large resorts and small inns. Let x represent the number of nights spent in large resorts. Let y represent the number of nights spent in small inns. Complete parts a through c below. a. Write a system of inequalities that model the conditions. You want to stay at least 5 nights. At least one night should be spent at a large resort. Large resorts average $200 per night and small inns average $100 per night. Your budget permits no more than $700 for lodging Choose the correct answer below. O A. yz0, x + y2 5, x21, 200x + 100y s 700 O B. yz 1, x+ y2 5, x2 0, 200x + 100y z 700 OC. yz1, x+y2 5, xs0, 100x + yz 700 O D. yz0, x+y2 5, x21, x+200y s 700 b. Select the graph of the system of inequalities in part (a). Choose the correct graph below. OA. OB. OC. c. Based on your graph in part (b), what is the greatest number of nights you could spend at a large resort and still stay within your budget?
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